Question

According to an airline, flights on a certain route are on time 85 % of the time. Suppose 15 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 11 flights are on time.

(c) Find and interpret the probability that fewer than 11 flights are on time.

(d) Find and interpret the probability that at least 11 flights are on time.

(e) Find and interpret the probability that between 99 and 11 flights, inclusive, are on time.

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 experiment is performed a fixed number of times.

C. Each trial depends on the previous trial.

D. The experiment is performed until a desired number of successes is reached.

E. The probability of success is the same for each trial of the experiment.

F. The trials are independent.

G. There are two mutually exclusive outcomes, success or failure.

Please explain how to solve with a TI-84 Plus CE or similar calculator (not by hand)

Answer 1