MATH302 WEEK 3 KNOWLEDGE CHECK

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Jan 9, 2024

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1 / 1 point Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the expected number of left- handed people? Round to the whole number. Do not use decimals. Answer: ___20 ___ k 0 / 1 point Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that 2 of them have blue eyes? Round answer to 4 decimal places. Answer: ___.7879 ___ (0.2711, .2711) k 08,FALSE) 1 / 1 point Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Answer: ___.0016 ___ k .85,FALSE) 1 / 1 point

It is known that 50% of adult workers have a high school diploma. If a random sample of 6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma? (That is, find P(X ≤ 3) (round to 4 decimal places) Answer: 3) (round to 4 decimal places) Answer: ___.6563 ___ k in Excel 5,TRUE) 0 / 1 point Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. Answer:___ ___.9021 ___ (1.2583) k 1 / 1 point The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. NAME Single Double Triple Home Run TOTAL HITS Babe Ruth 1,517 506 136 714 2,873 Jackie Robinson 1,054 273 54 137 1,518 Ty Cobb 3,603 174 295 114 4,189 Hank Aaron 2,294 624 98 755 3,771

NAME Single Double Triple Home Run TOTAL HITS TOTALS 8,468 1,577 583 1,720 12,351 Find P (hit was made by Hank Arron|The hit was a Single). 0.271 0.066 0.033 0.729 Hide question 6 feedback 2294/8468 1 / 1 point A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there? Answer: 60949324800 670442572800 362880 7257600 Hide question 7 feedback Order Matters =PERMUT(20,9) Order Matters =PERMUT(20,9) 1 / 1 point How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1? Do not use commas in your answer. Answer: ___8000000 ___ k

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ent choice then the last 6 numbers can be any number. 1 / 1 point Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places. Answer: ___.1944 ___ k 5 6 ) (1, 4) (1, 5) (1, 6) ) (2, 4) (2, 5) (2, 6) ) (3, 4) (3, 5) (3, 6) ) (4, 4) (4, 5) (4, 6) ) (5, 4) (5, 5) (5, 6) ) (6, 4) (6, 5) (6, 6) xactly 7 or exactly 12 1 / 1 point Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage. Number of Courses , x 1 2 3 Probability, P ( X = x ) 46% 28% 26% What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2) Answer: ___.54 ___

(round to 2 decimal places) Hide question 10 feedback .28 + .26 Question 11 1 / 1 point Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P ( X = x ) 0.16 0.01 0.25 0.11 0.66

Yes No Hide question 11 feedback No, since the probabilities do not add up to 1 1 / 1 point The random variable X = the number of vehicles owned. Find the expected number of vehicles owned. Round answer to two decimal places. Number of Courses , x 0 1 2 3 4 Probability, P ( X = x ) 0.2 0.35 0.25 0.1 0.1 Answer: ___1.55 ___ Hide question 12 feedback 0*.2 + 1*.35 + 2*.25 + 3*.1 + 4*.1 Question 13 1 / 1 point Does the following table represent a valid discrete probability distribution? x 1

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2 3 4 5 P ( X = x ) 0.11 0.06 0.25 0.41 0.51 yes no Hide question 13 feedback No, since the probabilities do not add up to 1 1 / 1 point If random variable X has a Poisson distribution with mean = 4.5, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Answer: ___.0403 ___

ck Excel 5,TRUE) 1 / 1 point The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X ≤ 55)) (round to 4 decimal places) Answer: ___.8904 ___ ck ,TRUE) 1 / 1 point There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 5 or less accidents at this intersection. (That is, find P(X ≤ 5)) (round to 4 decimal places) Answer: ___.7851 ___ ck RUE) 1 / 1 point A bank gets an average of 8 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that

there will be 11 customers at this bank in one hour. (That is, find P(X=11) (Round answer to 4 decimal places) Answer: ___.0722 ___ ck FALSE) 1 / 1 point If random variable X has a Poisson distribution with mean = 7, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Answer: ____ ___.2709 ___ ck n Excel TRUE) 1 / 1 point Which of the following statements are true? Probabilities can be any positive value. Probabilities can either be positive or negative. Probabilities must be nonnegative. Probabilities must be negative. Hide question 19 feedback Probabilities can never be negative. They are values between 0 and 1. 1 / 1 point Three cards are drawn from a deck without replacement. What is the probability that all three cards are clubs? 0.0145 0.0156

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0.0129 0.2575 Hide question 20 feedback 13 cubs out of a standard 52 card deck =(13/52)*(12/51)*(11/50)

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