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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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nameless23 nameless23
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3 years ago
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?
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#1
3 years ago
a. .23
b. No, because P(A  M)  0
c. No, because P(A  M)  P(A) P(M)
d. .4783
e. .6111
wrote...
#2
3 years ago
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