MATH 302 WEEK 3 KNOWLEDGE TEST EXAM PRACTICE QUESTION AND ANSWERS 2020

MATH 302 WEEK 3 KNOWLEDGE TEST EXAM PRACTICE QUESTION AND ANSWERS 2020 Part 1 of 6 - Binomial Distribution 1.0/ 5.0 Points Question 1 of 20 1.0/ 1.0 Points An unprepared student takes a 10 question TRUE/FALSE qu ...

MATH 302 WEEK 3 KNOWLEDGE TEST EXAM PRACTICE QUESTION AND ANSWERS 2020 Part 1 of 6 - Binomial Distribution 1.0/ 5.0 Points Question 1 of 20 1.0/ 1.0 Points An unprepared student takes a 10 question TRUE/FALSE quiz and ended up guessing on all the problems. Find σ. Round answer to 4 decimal places. Question 2 of 20 0.0/ 1.0 Points It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma? (That is, what is P(X<6) (keep 4 decimal places) Question 3 of 20 0.0/ 1.0 Points Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using Excel. Round answer to 4 decimal places. \ Question 4 of 20 0.0/ 1.0 Points Approximately 8% of all people have blue eyes. A random sample of 20 people is selected, find μ. Do not round answer. Answer: Question 5 of 20 0.0/ 1.0 Points If random variable X has a binomial distribution with n =7 and P(success) = p =0.6, find the probability that X is at least 6. (That is, find P(X≥6) (keep 4 decimal places) Answer: Part 2 of 6 - Contingency Tables 0.0/ 1.0 Points Question 6 of 20 0.0/ 1.0 Points 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 TOTALS 8,468 1,577 583 1,720 12,351 Find P(hit was made by Babe Ruth|The hit was a Triple). • A. 0.233 • B. 0.009 • C. 0.066 • D. .767 0.0/ 3.0 Points Question 7 of 20 0.0/ 1.0 Points How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type? Answer: Question 9 of 20 0.0/ 1.0 Points In a box there are 4 red cards and 7 blue cards. The cards are well-shuffled. If you pick a card without looking at the box, what is the probability that you pick a blue card? (keep 3 decimal places) Answer: Part 4 of 6 - Discrete Probability 0.0/ 4.0 Points Question 10 of 20 0.0/ 1.0 Points Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P(X=x) 0.11 0.06 0.18 0.06 0.96 • A. yes • B. no Question 11 of 20 0.0/ 1.0 Points True or False: The following table represents a valid discrete probability distribution. x 1 2 3 4 5 P(X=x) 0.16 0.06 0.05 0.21 0.01 True False Question 12 of 20 0.0/ 1.0 Points The random variable X = the number of vehicles owned. Find the standard deviation of the number of vehicles owned. Round answer to 4 decimal places. X 0 1 2 3 4 P(X) 0.1 0.35 0.25 0.2 0.1 Question 13 of 20 0.0/ 1.0 Points Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P(X=x) 0.16 0.11 0.06 - 0.36 0.21 • A. yes • B. no Part 5 of 6 - Poisson Distribution 0.0/ 5.0 Points Question 14 of 20 0.0/ 1.0 Points There are on average 20 old growth Sitka Spruce trees per acre in a local forest. Find the probability that that there are more than 8 Sitka Spruce trees in a ¼ acre. Round answer to 4 decimal places. Answer: Question 15 of 20 0.0/ 1.0 Points If random variable X has a Poisson distribution with mean = 4.5 find the probability that X is more than 4. (That is, find P(X>4) (keep 4 decimal places) Answer: Question 16 of 20 0.0/ 1.0 Points Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X ≥ 125) over an hour. Round answer to 4 decimal places. Answer: Question 17 of 20 0.0/ 1.0 Points If random variable X has a Poisson distribution with mean = 10, find the probability that X is more than 8. (That is, find P(X>8) (keep 4 decimal places) Answer: Question 18 of 20 0.0/ 1.0 Points There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be less than 2 accidents at this intersection. (That is, find P(X < 2)) (keep 4 decimal places) Answer: Part 6 of 6 - Probability 0.0/ 2.0 Points Question 19 of 20 0.0/ 1.0 Points In a recent study, the following data were obtained in response to the question, “Do you favor recycling in your neighborhood?” Yes No No Opinion Males 25 15 10 Females 30 10 10 If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling? • A. 4/5 • B. 3/10 • C. 7/10 • D. 3/5 Question 20 of 20 0.0/ 1.0 Points A furniture manufacturer offers bookcases in 6 different sizes and 3 different colors. If every color is available in every size, then the total number of different bookcases is: • A. 18 • B. 9 • C. 6 • D. 15