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) Find and interpret the probability that exactly 17 flights are on time.
(c) Find and interpret the probability that fewer than 17 flights are on time.
(d) Find and interpret the probability that at least 17 flights are on time.
(e) Find and interpret 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. There are two mutually exclusive outcomes, arriving on-time or not arriving on-time.
B. The trials are independent.
C. The experiment is performed a fixed number of times.
D. The probability of success is the same for each trial of the experiment.
(b) The probability that exactly 17 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 17 flights being on time.
(Round to the nearest whole number as needed.)
(c) The probability that fewer than 17 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 17 flights being on time.
(Round to the nearest whole number as needed.)
(d) The probability that at least 17 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 17 flights being on time.
(Round to the nearest whole number as needed.)
(e) The probability that between 15 and 17 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 15 and 17 flights, inclusive, being on time.