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(a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 11 flights are on time.

(a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 11 flights are on time.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 17 flights are randomly selected, and the number of on-time flights is recorded. ### Questions: **(a)** Explain why this is a binomial experiment. **(b)** Determine the values of \( n \) and \( p \). **(c)** Find and interpret the probability that exactly 11 flights are on time. **(d)** Find and interpret the probability that fewer than 11 flights are on time. **(e)** Find and interpret the probability that at least 11 flights are on time. **(f)** Find and interpret the probability that between 9 and 11 flights, inclusive, are on time. ### Multiple Choice: **(a)** Identify the statements that explain why this is a binomial experiment. Select all that apply. - **A.** The probability of success is different for each trial of the experiment. - **B.** The experiment is performed a fixed number of times. - **C.** There are two mutually exclusive outcomes, success or failure. - **D.** Each trial depends on the previous trial. - **E.** The trials are independent. - **F.** The experiment is performed until a desired number of successes are reached. - **G.** There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. - **H.** The probability of success is the same for each trial of the experiment.
Transcribed Image Text:According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 17 flights are randomly selected, and the number of on-time flights is recorded. ### Questions: **(a)** Explain why this is a binomial experiment. **(b)** Determine the values of \( n \) and \( p \). **(c)** Find and interpret the probability that exactly 11 flights are on time. **(d)** Find and interpret the probability that fewer than 11 flights are on time. **(e)** Find and interpret the probability that at least 11 flights are on time. **(f)** Find and interpret the probability that between 9 and 11 flights, inclusive, are on time. ### Multiple Choice: **(a)** Identify the statements that explain why this is a binomial experiment. Select all that apply. - **A.** The probability of success is different for each trial of the experiment. - **B.** The experiment is performed a fixed number of times. - **C.** There are two mutually exclusive outcomes, success or failure. - **D.** Each trial depends on the previous trial. - **E.** The trials are independent. - **F.** The experiment is performed until a desired number of successes are reached. - **G.** There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. - **H.** The probability of success is the same for each trial of the experiment.
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