Please solve the following questions related to Chapter 5: Discrete Probability Distribution.

1. A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential customer making a purchase is .20.

a. What is the probability the salesperson will make exactly three sales in a day?

b. What percentage of days will the salesperson not make a sale?

c. What is the expected number of sales per day?

[Hint: Please see Chap005 – Slides 27 -39 for Binomial Probability Distribution. Please also see pages 237 – 245 in the textbook.]

2. Shoppers enter Hamilton Place Mall at an average of 60 per hour.

a. What is the probability that exactly 5 shoppers will enter the mall between noon and 12:05 p.m.?

b. What is the probability that exactly 4 shoppers will enter the mall between 5:00 and 5:10 p.m.?