A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e. a. For this experiment, define the event that represents a "success." Choose the correct answer below. O Adults working during summer vacation O Adults not working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. O A. There are three possible outcomes on each trial. O B. The trials are not independent. OC. The experiment consists of only identical trials. O D. The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent. c. Give the value of p for this binomial experiment. p= d. Find P(x = 5). P(x = 5) = (Round to four decimal places as needed.) e. Find the probability that 2 or fewer of the 8 adults do not work during summer vacation. P(xs2) = (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A poll found that

15​%

of adults do not work at all while on summer vacation. In a random sample of

8

​adults, let x represent the number who do not work during summer vacation. Complete parts a through

e.
A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during
summer vacation. Complete parts a through e.
a. For this experiment, define the event that represents a "success." Choose the correct answer below.
Adults working during summer vacation
Adults not working during summer vacation
b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below.
O A. There are three possible outcomes on each trial.
B. The trials are not independent.
C. The experiment consists of only identical trials.
D. The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent.
c. Give the value of p for this binomial experiment.
p=
d. Find P(x= 5).
P(x = 5) = (Round to four decimal places as needed.)
%3D
%3D
e. Find the probability that 2 or fewer of the 8 adults do not work during summer vacation.
P(xs2) = (Round to four decimal places as needed.)
Transcribed Image Text:A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e. a. For this experiment, define the event that represents a "success." Choose the correct answer below. Adults working during summer vacation Adults not working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. O A. There are three possible outcomes on each trial. B. The trials are not independent. C. The experiment consists of only identical trials. D. The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent. c. Give the value of p for this binomial experiment. p= d. Find P(x= 5). P(x = 5) = (Round to four decimal places as needed.) %3D %3D e. Find the probability that 2 or fewer of the 8 adults do not work during summer vacation. P(xs2) = (Round to four decimal places as needed.)
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