1. What is the probability that you will receive a Merit scholarship? o. Are events A and M mutually exclusive? Why or why not? Explain. c. Are the two events A, and M, independent? Explain, using probabilities.
1. What is the probability that you will receive a Merit scholarship? o. Are events A and M mutually exclusive? Why or why not? Explain. c. Are the two events A, and M, independent? Explain, using probabilities.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
a,b, and c 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12329165-83a7-4f90-ae4e-cd06099490e5%2F9d8a3e6b-e5f7-43b6-b9f6-d93757c4820d%2Fax4p0nx_processed.jpeg&w=3840&q=75)
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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