QuestionAccording to flightstats.com, American Airlines flights from Dallas to Chicago are on time $80 \%$ 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 15 flights are on time. (d) Find and interpret the probability that fewer than 15 flights are on time. (e) Find and interpret the probability that at least 15 flights are on time. (f) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time. (c) Using the binomial distribution, the probability that exactly 15 flights are on time is $\square$ (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about (Round to the nearest whole number as needed.) $\square$ will result in exactly 15 flights being on time. (d) Using the binomial distribution, the probability that fewer than 15 flights are on time is (Round to four decimal places as needed.) $\square$ Interpret the probability. In 100 trials of this experiment, it is expected that about $\square$ will result in fewer than 15 flights being on time. (Round to the nearest whole number as needed.)