BADM 216.D46 Homework 2

Please solve the following questions related to Chapter 4 and 5.

1. Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3.

(1)	What is the probability that you will receive a Merit scholarship?
(2)	What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship?
(3)	What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship?

2. A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major.

Gender	Management	Marketing	Others	Total
Male	40	10	30	80
Female	30	20	70	120
Total	70	30	100	200

Based on the data above, please compute the following probabilities:

(1)	What is the probability of selecting an individual who is majoring in Marketing?
(2)	What is the probability of selecting a male individual?
(3)	Given that a person is male, what is the probability that he is majoring in Management?
(4)	What is the probability of selecting an individual who is majoring in Marketing, given that the person is female?

3. A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential customer making a purchase is .10.

What is the probability the salesperson will make exactly two 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?

4. 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 3 shoppers will enter the mall between 5:00 and 5:10 p.m.?