Question

According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 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. The probability of success is the same for each trial of the experiment. ? B. Each trial depends on the previous trial. ? C. There are two mutually exclusive outcomes, success or failure. ? D. The experiment is performed until a desired number of successes is reached. ? E. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. ? F. The trials are independent. ? G. The experiment is performed a fixed number of times. (b) The probability that exactly 15 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in exactly 15 flights being on time. (Round to the nearest whole number as needed.) (c) The probability that fewer than 15 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in fewer than 15 flights being on time. (Round to the nearest whole number as needed.) (d) The probability that at least 15 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in at least 15 flights being on time. (Round to the nearest whole number as needed.) (e) The probability that between 13 and 15 flights, inclusive, are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in between 13 and 15 flights, inclusive, being on time. (Round to the nearest whole number as needed.)

          According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 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. The probability of success is the same for each trial of the experiment.
? B. Each trial depends on the previous trial.
? C. There are two mutually exclusive outcomes, success or failure.
? D. The experiment is performed until a desired number of successes is reached.
? E. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
? F. The trials are independent.
? G. The experiment is performed a fixed number of times.
(b) The probability that exactly 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in exactly 15 flights being on time.
(Round to the nearest whole number as needed.)
(c) The probability that fewer than 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in fewer than 15 flights being on time.
(Round to the nearest whole number as needed.)
(d) The probability that at least 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in at least 15 flights being on time.
(Round to the nearest whole number as needed.)
(e) The probability that between 13 and 15 flights, inclusive, are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in between 13 and 15 flights, inclusive, being on time.
(Round to the nearest whole number as needed.)

According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 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. The probability of success is the same for each trial of the experiment.
? B. Each trial depends on the previous trial.
? C. There are two mutually exclusive outcomes, success or failure.
? D. The experiment is performed until a desired number of successes is reached.
? E. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
? F. The trials are independent.
? G. The experiment is performed a fixed number of times.
(b) The probability that exactly 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in exactly 15 flights being on time.
(Round to the nearest whole number as needed.)
(c) The probability that fewer than 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in fewer than 15 flights being on time.
(Round to the nearest whole number as needed.)
(d) The probability that at least 15 flights are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in at least 15 flights being on time.
(Round to the nearest whole number as needed.)
(e) The probability that between 13 and 15 flights, inclusive, are on time is
(Round to four decimal places as needed.)
Interpret the probability.
In 100 trials of this experiment, it is expected about to result in between 13 and 15 flights, inclusive, being on time.
(Round to the nearest whole number as needed.)

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