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According to an airline, flights on a certain route are on time 75% of the time. Suppose 15 flights are randomly selected and the number
According to an airline, flights on a certain route are on time 75% 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 9 flights are on time. (c) Find and interpret the probability that fewer than 9 flights are on time. (d) Find and interpret the probability that at least 9 flights are on time. (e) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time (a) Identify the statements that explain why this is a binomial experiment. Select all that apply YA. The trials are independent. LY B. The probability of success is the same for each trial of the experiment. C. The experiment is performed until a desired number of successes is reached. D. Each trial depends on the previous trial. LYE. There are two mutually exclusive outcomes, success or failure. LY F. The experiment is performed a fixed number of times. G. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. (b) The probability that exactly 9 flights are on time is 0.0917 (Round to four decimal places as needed. ) Interpret the probability. In 100 trials of this experiment, it is expected about to result in exactly 9 flights being on time. (Round to the nearest whole number as needed.)
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