According to an airline, flights on a certain route are on time 85% 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) Determine the values of n and p. (c) Find the probability that exactly 17 flights are on time. (d) Find the probability that fewer than 17 flights are on time. (e) Find the probability that at least 17 flights are on time. () Find the probability that between 15 and 17 flights, inclusive, are on time.

MATLAB: An Introduction with Applications
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According to an airline, flights on a certain route are on time 85% 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) Determine the values of n and p.
(c) Find the probability that exactly 17 flights are on time.
(d) Find the probability that fewer than 17 flights are on time.
(e) Find the probability that at least 17 flights are on time.
(f) Find the probability that between 15 and 17 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. The experiment is performed a fixed number of times.
B. There are two mutually exclusive outcomes, success or failure.
C. The probability of success is different for each trial of the experiment.
D. Each trial depends on the previous trial.
E. The experiment is performed until a desired number of successes is reached.
F. The trials are independent.
G. The probability of success is the same for each trial of the experiment.
Transcribed Image Text:According to an airline, flights on a certain route are on time 85% 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) Determine the values of n and p. (c) Find the probability that exactly 17 flights are on time. (d) Find the probability that fewer than 17 flights are on time. (e) Find the probability that at least 17 flights are on time. (f) Find the probability that between 15 and 17 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. The experiment is performed a fixed number of times. B. There are two mutually exclusive outcomes, success or failure. C. The probability of success is different for each trial of the experiment. D. Each trial depends on the previous trial. E. The experiment is performed until a desired number of successes is reached. F. The trials are independent. G. The probability of success is the same for each trial of the experiment.
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