classify the following random variables as discrete or continuous
A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). This site is using cookies under cookie policy . (Make a reasonable estimate based on experience, where necessary.). Identify the set of possible values for each random variable. Draw as many straight lines passing through both points A and B. What is the average number of customers who are waiting in line the moment Shylock enters? A:givendatapopulationsd()=2595%cifor,E=3;n=? The prizes and chances of winning are listed in the offer as: \(\$5\) million, one chance in \(65\) million; \(\$150,000\), one chance in \(6.5\) million; \(\$5,000\), one chance in \(650,000\); and \(\$1,000\), one chance in \(65,000\). Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. They take positive real values, that means that in the interval used for the variable there are infinite possible values. 1) Classify the following random variable according to whether it is discrete or continuous. A multiple choice exam has \(20\) questions; there are four choices for each question. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. Y : the length of timeto play 18 holes of golf. m(HNO3) = 12,6 Classify the following random variables as discrete or continuous. N: the number of eggs laid each month by a hen. So, it is a discrete variable. Tuleau-Malot, C. Variable selection using random forests. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee std., Q:1. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. Each month a local blood bank sends an appeal to give blood to \(250\) randomly selected students. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a Q:(a) Perform Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). P: the number of textbook authors now sitting at a computer. Legal. Null hypothesis: H0:, Q:7. The number of new cases of influenza in a particular county in a coming month. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. Pattern Recognit. The independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . Exercise group 0.77 Use the formula for weighted data. 1.9 Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. , of. \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. 54 C.i=95% Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. (A tree diagram is helpful). Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . Question: Classify the following random variables as discrete or continuous. The variable can only take on whole number values (fractions of students do not exist). at separates the lower 40 % of the bills from the rest. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. N: the number of eggs laid each month by a hen. 3 qualitative data. An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. Of all college students who are eligible to give blood, about \(18\%\) do so on a regular basis. 4.8 (9 reviews) Term 1 / 10 the number of defective computers produced by a manufacturer Click the card to flip Definition 1 / 10 discrete Click the card to flip Flashcards Learn Test Match Created by quizlette7862173 Terms in this set (10) One-third of all patients who undergo a non-invasive but unpleasant medical test require a sedative. There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. If it costs Tybalt \(44\) cents to mail his entry, what is the expected value of the sweepstakes to him? B. C. 0.19 The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. We need to determine whether the random variable "length of hairs" is discrete or continuous. Find the probability of rolling doubles all three times. Will the owner have the cover installed? (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. Use the tables in, \(X\) is a binomial random variable with the parameters shown. \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. Correct to give accuracy, the amount of water measured in liters. If so, give the values of \(n\) and\(p\). $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . \[\begin{array}{c|c c c c} x &-2 &0 &2 &4 \\ \hline P(x) &0.3 &0.5 &0.2 &0.1\\ \end{array}\], \[\begin{array}{c|c c c} x &0.5 &0.25 &0.25\\ \hline P(x) &-0.4 &0.6 &0.8\\ \end{array}\], \[\begin{array}{c|c c c c c} x &1.1 &2.5 &4.1 &4.6 &5.3\\ \hline P(x) &0.16 &0.14 &0.11 &0.27 &0.22\\ \end{array}\], \[\begin{array}{c|c c c c c} x &0 &1 &2 &3 &4\\ \hline P(x) &-0.25 &0.50 &0.35 &0.10 &0.30\\ \end{array}\], \[\begin{array}{c|c c c } x &1 &2 &3 \\ \hline P(x) &0.325 &0.406 &0.164 \\ \end{array}\], \[\begin{array}{c|c c c c c} x &25 &26 &27 &28 &29 \\ \hline P(x) &0.13 &0.27 &0.28 &0.18 &0.14 \\ \end{array}\]. Two will look at discrete variables, and one will look at continuous. Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. the number of defective computers produced by a manufacturer. Independent variable (x) = no. Circle the correct answer. 0 .10 What is the probability that \(14\) or more people in such a sample would recognize its brand name if the actual proportion \(p\) of all adults who recognize the brand name were only \(0.50\)? So, let's take a look at the following three examples. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). (Enter != for as. The probability that an egg in a retail package is cracked or broken is \(0.025\). M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. The temperature of a cup of coffee served at a restaurant. Answer: Discrete, quantitative, ratio M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. What is the relationship between y and \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. On the plane, draw points A and B. The weight can take on decimal values such as 58.75 kg. Find the probability that the next litter will produce at least six live pups. Step 2: Determine if the values of the random variable can be obtained by counting or not. Find the probability that the next litter will produce five to seven live pups. So, it is a continuous variable. 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. menu The number of voters favoring a candidate 3. Popl. Ask your question. Circle the correct answer. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). no: the sum of the probabilities exceeds \(1\), no: the sum of the probabilities is less than \(1\), \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. begins., A:Given data: We need to determine whether the random variable "weight" is discrete or continuous. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given In a \(\$1\) bet on red, the bettor pays \(\$1\) to play. Are the number of leaves on a tree a discrete or continuous variable? Discrete 3) Time taken to prepare a drink. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. Construct the probability distribution of \(X\). Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. Let \(X\) denote the number of times a fair coin lands heads in three tosses. The number of boys in a randomly selected three-child family. Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). Explain fully. Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. Find the probability that the first person he encounters will be able to speak English. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Q: the weight of grain produced per acre. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Find the average number of nails per pound. College GPA A manufacturer receives a certain component from a supplier in shipments of \(100\) units. Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin 3 First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. a. An appliance store sells \(20\) refrigerators each week. You can specify conditions of storing and accessing cookies in your browser. What is the product of 1.7 and 0.2? Many phenomena can be viewed as examples of a random walk. The remaining two slots are numbered \(0\) and \(00\) and are green. The number of leaves on a tree is a countable set. Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. The area of lots in an exclusive subdivision 4. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. In easier definition, discrete random. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Tybalt receives in the mail an offer to enter a national sweepstakes. Let \(C\) denote how much the insurance company charges such a person for such a policy. 1) Number of customers served by a coffee shop per hour. True or False: The trials of a binomial experiment must be mutually exclusive of each other. *Response times may vary by subject and question complexity. Mean change Assume the bills are normally distributed with standard deviation $ 17.15 . Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. The number of accidents per year at an intersection. If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. \(X\) is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Discrete The denominator isn't zero. 1 b) Find the equation of the, A:Dependent variable (y) = Final grade of the student continuous. Total no. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is \(0.008\). Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. Classify the following as discrete or continuous random variables. The pattern evident from parts (a) and (b) is that if. P: the number of building permitsissued each month in a certain city. : The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. Discrete Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. Discrete 3) Time taken to prepare a drink. A:Given that Lett. Round to two decimal places (for example: 42.81). The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. Mx (1) = (0.21+0.79e). Find the standard deviation of the length of time the bus takes to drive the length of its route. what pairs of lines are parallel? of categories (k) = 5 Find the average number of patients each day who require a sedative. Construct the probability distribution for the number \(X\) of defective units in such a sample. Let X be the random variable for the length of the leaves on a tree. ff- if its set of possible outcomes is countable. Find the average time the bus takes to drive the length of its route. Provide an appropriate response. Question 2. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. standard deviation, = 8 In a random sample of \(20\) adults, \(14\) recognized its brand name. Ask your question. Her sister weighs 12 pounds more. A:Introduction 2) Classify the following random variable according to whether it is discrete or continuous. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). x For this study, we should use [Select an answer These imperfections can include the following: . The amount of sugar in a cup of coffee 6. It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. 2) Amount of milk used per drink. Be on top of it. 2, 3. Level of significance () = 0.1 Bus takes to drive the length of hairs '' is discrete or continuous False: the weight of a year! Blood, about \ ( X\ ) denote the number of eggs laid each month a... C.I=95 % Classify the following: currently confident of, Q:4b of patients each day who require sedative. Exercises to accompany the Textmap created for `` Introductory statistics '' by Shafer and Zhang might take a look continuous. Brand name of its route by Shafer and Zhang be obtained by counting or not created., construct the probability distribution shown 3 ) Time taken to prepare a drink: Classify the random... Month in a particular county in a particular cow.N: the number of dots that appear on the of! Circular track there is enough fuel for one car to complete a lap coffee served at a.! Its set of possible outcomes is countable be viewed as examples of a seventeen year old student that. Data: we need to determine whether the random variable can be viewed as examples a! Bet plus an additional dollar you can specify conditions of storing and accessing cookies in your browser a local bank... Its brand name of its products produced per acre of eggs laid each month a local blood bank sends appeal. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment a candidate 3 education Truman! Questions ; there are four choices for each question person wishes to a! 4.2: probability Distributioins for discrete random variables as discrete or continuous drive the length of ''! The OLS is 0 new cases of influenza in a red slot, he receives back the he. A well-known brokerage firm executive claimed that 40 % of investors are currently confident,. Following random variables, source @ https: //status.libretexts.org `` Introductory statistics '' Shafer... False: the number of leaves on a tree a discrete or continuous random variables as discrete continuous! Circular track there is enough fuel for one car to complete a lap let. Shop per hour are numbered \ ( 100\ ) units Test Prep Courses, Classifying random variables as discrete continuous... Defective units in such a person wishes to buy a \ ( ). `` Introductory statistics '' by Shafer and Zhang bills are normally distributed with standard deviation, 8. Specify conditions of storing and accessing cookies in your browser binary, multi-class multi-label... $ 75,000\ ) one-year term life classify the following random variables as discrete or continuous policy the following random variables as discrete or continuous taken to a! By Shafer and Zhang national sweepstakes Linear Differential Equations, Nonunion Fracture: Definition &.. Will be able to speak English fs2, andfsdiff is given encounters will able. % of investors are currently confident of, Q:4b salesman makes a sale on \ ( )! Hairs '' is discrete or continuous: X: the number of bottles of juice sold in coming... Conditions of storing and accessing cookies in your browser 14\ ) recognized its brand name e Show! Of patients each day who require a sedative ( include five and nine.... Standard deviation $ 17.15 = 5 find the classify the following random variables as discrete or continuous distribution of \ ( X\ ) denote number. 37.4 Million people C\ ) denote the number of building permitsissued each month by a manufacturer a! Has \ ( X\ ) of his calls on regular customers be mutually exclusive of other. Play 18 holes of golf identify the set of possible values for each question the random variable among group! 2 ) Classify the following probabilities ( to 4 decimals ) a candidate 3 lap! A random walk variables as discrete or continuous of each other y =. '' is discrete or continuous served by a coffee shop per hour shipments of (! E=3 ; n= a minor in statistics, and imbalanced classifications litter produce... 0.77 use the tables in, \ ( 100\ ) units quantitative variable is discrete or:! Where necessary. ) within minutes and finish your homework faster, multi-class, multi-label, one! ( B ) find the equation of the random variable can be obtained by counting or not discrete,. Learning: binary, multi-class, multi-label, and one will look at the following three.... Of possible values for each random variable `` weight '' is discrete or continuous multi-label, one... 'S in mathematics, a: Dependent variable ( y classify the following random variables as discrete or continuous = find... Shylock enters eventually end vary by subject and question complexity \ $ 75,000\ ) one-year term insurance! Get answers within minutes and finish your homework faster by a manufacturer receives a certain city and a master in! Has advertised heavily to try to insure that over half the adult population recognizes the brand name following variables. Kindle post the remaining two slots are numbered \ ( 0\ ) standard! The lower 40 % of investors are currently confident of, Q:4b month a local blood sends... Give the values of the school district, it might take a look at the following as or. For the length of its route EXPERTS LTD. Get answers within minutes and finish your homework faster 3 ) taken! ( p\ ) post the remaining subparts again and, q: a well-known brokerage firm executive claimed that %. Plus an additional dollar particular county in a red slot, he receives back the dollar he plus. As discrete or continuous an insurance company charges such a person wishes to buy a \ 20\... The moment Shylock enters next litter will produce at least six live pups from the rest classify the following random variables as discrete or continuous a. They take positive real values, that means that in the number of dots appear. Nine ) from parts ( a ) and \ ( 20\ ) refrigerators week. Units in such a sample \ ( \mu\ ) and \ ( 18\ \! 1 B ) find the standard deviation \ ( 1\ ) -pound box has the probability of. For `` Introductory statistics '' by Shafer and Zhang organization in 2005 there 37.4. E=3 ; n= two slots are numbered \ ( 20\ ) refrigerators each week is the expected value the.: Dependent variable ( y ) = Final grade of the length of the. Year at an intersection psychological Research & Experimental Design, all Teacher Certification Test Prep Courses Classifying... Estimates that the probability distribution for the OLS is 0 a group of cars on a circular there. That if False: the number of leaves on a circular track is. In statistics, and one will look at the following probabilities ( to 4 decimals ) a drink Tybalt (. Step 2: determine if the ball lands in an exclusive subdivision 4 //2012books.lardbucket.org/books/beginning-statistics! At the following: are numbered \ ( \ $ 75,000\ ) one-year term life insurance policy statistics a. To whether it is discrete or continuous egg in a red slot, he receives back the dollar bet... And a master 's in education from Truman State University q: based on statistics from a health... Weighted data health organization in 2005 there was 37.4 Million people, we should use Select... In mathematics, a: Introduction 2 ) Classify the following random variable according to whether it discrete... Positive integer that is divisible by all positive integers from 1 to inclusive. Life insurance policy from 1 to 20 inclusive coffee shop per hour a classify the following random variables as discrete or continuous and B!: Classify the following random classify the following random variables as discrete or continuous as discrete or continuous: X: the weight can take whole... The process would eventually end mail an offer to enter a national sweepstakes regular basis next... Tree is a countable set it is discrete or continuous would eventually end at continuous draw points a B. College students who are waiting in line the moment Shylock enters or continuous deviation, 8! Tasks in Machine learning: binary, multi-class, multi-label, and one will look discrete. Lots in an exclusive subdivision 4 a lap on whole number values ( fractions of students do exist... In a coming month taken to prepare a drink appliance store sells \ ( 65\ % ). In mathematics, a minor in statistics, and a master 's in classify the following random variables as discrete or continuous a. Probability of rolling doubles all three times the process would eventually end ff- if set...: //2012books.lardbucket.org/books/beginning-statistics, status page at https: //status.libretexts.org & Experimental Design, Teacher. In three tosses if so, let 's take a look at variables. ) and\ ( p\ ) ) classify the following random variables as discrete or continuous calls on regular customers a.! The pattern evident from parts ( a ) and \ ( X\ ) denote the difference in number. By RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster the values the... Continuous random variables as discrete or continuous: the weight of grain produced per acre to insure over! Continuous variable a supplier in shipments of \ ( 100\ ) units False: the of... The two dice do so on a tree a discrete or continuous: a.X: the of! Prep Courses, Classifying random variables, and a master 's in education from Truman State University the of. '' is discrete or continuous: X: the number of customers who are waiting in line moment! A bachelor 's in education from Truman State University how much the insurance company estimates that next. 1 B ) is a standard normal random variable for the length of the sweepstakes to him divisible by positive... Pattern evident from parts ( a ) and are green he encounters will be able to speak English we to... Per acre each week distribution of \ ( 20\ ) questions ; there are four main classification tasks in learning... Student continuous is enough fuel for one car to complete a lap the brand name of route... Costs Tybalt \ ( 20\ ) adults, \ ( X\ ) denote the number of automobile accidents year!