According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 10 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 and interpret the probability that exactly 7 flights are on time. (d) Find and interpret the probability that fewer than 7 flights are on time. (e) Find and interpret the probability that at least 7 flights are on time. (f) Find and interpret the probability that between 5 and 7 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 possible outcomes, arriving on-time, arriving early, and arriving late. B. The experiment is performed until a desired number of successes are reached. 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. G. The trials are independent.

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Solve A) to F)

According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 10 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 and interpret the probability that exactly 7 flights are on time.
(d) Find and interpret the probability that fewer than 7 flights are on time.
(e) Find and interpret the probability that at least 7 flights are on time.
(f) Find and interpret the probability that between 5 and 7 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 possible outcomes, arriving on-time, arriving early, and arriving late.
B. The experiment is performed until a desired number of successes are reached
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.
G. The trials are independent.
H. The probability of success is different 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 10 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 and interpret the probability that exactly 7 flights are on time. (d) Find and interpret the probability that fewer than 7 flights are on time. (e) Find and interpret the probability that at least 7 flights are on time. (f) Find and interpret the probability that between 5 and 7 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 possible outcomes, arriving on-time, arriving early, and arriving late. B. The experiment is performed until a desired number of successes are reached 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. G. The trials are independent. H. The probability of success is different for each trial of the experiment.
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