A poll reported that 67% of adults were satisfied with the job the major airlines were doing. Suppose 15 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. OA. 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. 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. OC. 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. 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 8 of them are satisfied with the airlines. The probability that exactly 8 adults are satisfied with the airlines is (Round to four decimal places as needed)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Transcription for Educational Website:**

**Poll Report on Airline Satisfaction**

A poll reported that 67% of adults were satisfied with the job the major airlines were doing. Suppose 15 adults are selected at random and the number who are satisfied is recorded. Complete parts (a) through (e) below.

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**(a) Explanation of Binomial Experiment**

*Choose the correct answer below:*

- **A.** 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.

- **B.** (Selected Answer) 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.

- **C.** 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.

- **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.

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**(b) Probability Calculation**

*Find and interpret the probability that exactly 8 of them are satisfied with the airlines.*

The probability that exactly 8 adults are satisfied with the airlines is: \[ \text{(Round to four decimal places as needed)} \]

**Note:** The image does not include any graphs or diagrams, only multiple-choice options related to the concept of a binomial experiment.
Transcribed Image Text:**Transcription for Educational Website:** **Poll Report on Airline Satisfaction** A poll reported that 67% of adults were satisfied with the job the major airlines were doing. Suppose 15 adults are selected at random and the number who are satisfied is recorded. Complete parts (a) through (e) below. --- **(a) Explanation of Binomial Experiment** *Choose the correct answer below:* - **A.** 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. - **B.** (Selected Answer) 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. - **C.** 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. - **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) Probability Calculation** *Find and interpret the probability that exactly 8 of them are satisfied with the airlines.* The probability that exactly 8 adults are satisfied with the airlines is: \[ \text{(Round to four decimal places as needed)} \] **Note:** The image does not include any graphs or diagrams, only multiple-choice options related to the concept of a binomial experiment.
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