Question

According to an airline, flights on a certain route are on time 75% 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) Determine the values of n and p (c) Find and interpret the probability that exactly 16 flights are on time (d) Find and interpret the probability that fewer than 16 flights are on time (e) Find and interpret the probability that at least 16 flights are on time (f) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time (a) ldentify 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. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late C. The experiment is performed a fixed number of times D. Each trial depends on the previous trial E. There are two mutually exclusive outcomes, success or failure F. The trials are independent. G. The probability of success is different for each trial of the experiment. H. The experiment is performed until a desired number of successes is reached (b)n(Type an integer or a decimal. Do not round.) p(Type an integer or a decimal. Do not round.) (c) The probability that exactly 16 flights are on time is (Round to four decimal places as needed.) Interpret the probability In 100 trials of this experiment, it is expected that aboutwill result in exactly 16 flights being on time (Round to the nearest whole number as needed.) (d) The probability that fewer than 16 flights are on time is (Round to four decimal places as needed.)

Answer 1