A poll reported that 63​%of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded. Complete parts​ (a) through​ (e) below.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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A poll reported that 63​%of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded. Complete parts​ (a) through​ (e) below. 
 
 
 
A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied
is recorded. Complete parts (a) through (e) below.
(a) Explain why this is a binomial experiment. Choose the correct answer below.
O A. This is a binomial experiment because there are three mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial
does not affect the outcome of another, and the probability of success is the same for each trial.
B. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does
not affect the outcome of another, and the probability of success is the same for each trial.
This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a random number of trials, the outcome of one trial
does not affect the outcome of another, and the probability of success is the same for each trial.
O D. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does
not affect the outcome of another, and the probability of success changes in each trial.
(b) Find and interpret the probability that exactly 10 of them are satisfied with the airlines.
The probability that exactly 10 adults are satisfied with the airlines is
(Round to four decimal places as needed.)
Transcribed Image Text:A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded. Complete parts (a) through (e) below. (a) Explain why this is a binomial experiment. Choose the correct answer below. O A. This is a binomial experiment because there are three mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial. B. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a random number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial. O D. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success changes in each trial. (b) Find and interpret the probability that exactly 10 of them are satisfied with the airlines. The probability that exactly 10 adults are satisfied with the airlines is (Round to four decimal places as needed.)
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