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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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d and e please!

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 0.19. The probability
of receiving both scholarships is 0.12. The probability of getting at least one of the scholarships
is 0.33.
a. What is the probability that you will receive a Merit scholarship?
b. Are events A and M mutually exclusive? Why or why not? Explain.
c. Are the two events A, and M, independent? Explain, using probabilities.
d. What is the probability of receiving the Athletic scholarship given that you have been awarded
the Merit scholarship?
e. What is the probability of receiving the Merit scholarship given that you have been awarded
the Athletic scholarship?
Transcribed Image Text: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 0.19. The probability of receiving both scholarships is 0.12. The probability of getting at least one of the scholarships is 0.33. a. What is the probability that you will receive a Merit scholarship? b. Are events A and M mutually exclusive? Why or why not? Explain. c. Are the two events A, and M, independent? Explain, using probabilities. d. What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship? e. What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship?
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