Question

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

What is the probability that you will receive a Merit Scholarship?

2) 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

What is the probability of receiving the Athletic Scholarship given that you have been awarded the Merit scholarship?

3) 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

Are the two events (receiving Athletic and Merit) independent? Explain how you would know.

4)

The sales records of a real estate agency show the following sales distribution over the past 200 days:

Number of	Number
Houses Sold	of Days
0	.30
1	.40
2	.20
3	.08
4	.02

What is the probability that the agency will not sell any houses in a given day?

Answer 1