According to an airline, a particular flight is on time 75% of the time. Suppose 140 flights are randomly selected and the number of on time flights is recorded.

Question

Determine if you should use the Binomial model or Normal model to solve this problem. show work and write a sentence justifying your decision.

Find the mean or expected number of on time flights.

Find the standard deviation, round to 3 decimal places.

Find Q1, round to 3 decimal places.

Find the probability that at least 110 flights are on time.