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Science-Related Homework Help Statistics and Probability Topic started by: nameless23 on Jan 26, 2018



Title: Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship ...
Post by: nameless23 on Jan 26, 2018
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 .18 . The probability of receiving both scholarships is .11 . The probability of getting at least one of the scholarships is .3.
 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?


Title: Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship ...
Post by: wping on Jan 26, 2018
a. .23
b. No, because P(A  M)  0
c. No, because P(A  M)  P(A) P(M)
d. .4783
e. .6111


Title: Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship ...
Post by: nameless23 on Jan 26, 2018
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