According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that fewer than 15 flights are on time. (d) Find and interpret the probability that at least 15 flights are on time. (e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 15 flights are on time.
(c) Find and interpret the probability that fewer than 15 flights are on time.
(d) Find and interpret the probability that at least 15 flights are on time.
(e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
B. The trials are independent.
C. There are two mutually exclusive outcomes, success or failure.
D. The experiment is performed a fixed number of times.
E
The probability of success is the same for each trial of the experiment.
F. Each trial depends on the previous trial.
EXG. The experiment is performed until a desired number of successes is reached.
(b) The probability that exactly 15 flights are on time is
(Round to four decimal places as needed.).
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Transcribed Image Text:According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 15 flights are on time. (c) Find and interpret the probability that fewer than 15 flights are on time. (d) Find and interpret the probability that at least 15 flights are on time. (e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. B. The trials are independent. C. There are two mutually exclusive outcomes, success or failure. D. The experiment is performed a fixed number of times. E The probability of success is the same for each trial of the experiment. F. Each trial depends on the previous trial. EXG. The experiment is performed until a desired number of successes is reached. (b) The probability that exactly 15 flights are on time is (Round to four decimal places as needed.). View an example Get more help. Moderate r
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