Chapter 6.5, Problem 169E

In Exercises 6.165–6.172, apply Procedure 6.3 on page 299 to approximate the required binomial probabilities.

6.169 Airline Reservations. As reported by a spokesperson for Southwest Airlines, the no-show rate for reservations is 16%. In other words, the probability is 0.16 that a person making a reservation will not take the flight. For the next flight, 42 people have reservations. What is the probability that

1. a. exactly 5 do not take the flight?
2. b. between 9 and 12, inclusive, do not take the flight?
3. c. at least 1 does not take the flight?
4. d. at most 2 do not take the flight?
5. e. Comment on the accuracy of the normal approximation in this case.