Question 1176393: The probability that the student enrolls in a math class is 0.5 and the probability that he enrolls in a science class is 0.8. The probability that he enrolls in a math class given that he enrolls in science class is 0.4. Let: M = math class, S = science class, M|S = math given science.
a. What is the probability P(M OR S) ?
Round your answer to the nearest hundredth.
b. Are M and S independent?
c. Are M and S mutually exclusive?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
Question States:
P(M|S) = P (MᑎS)/P(S) = P(MᑎS)/.8 = .4 ⇒ P(MᑎS) = .32
a) P(M 0r S) = (.5) + (.8) - (.32) = .98
b) Are M and S independent? NO, P(M ᑎ S)≠ P(M)P(S)
c. Are M and S mutually exclusive? NO, (M 0r S) ≠ (.5) + (.8)
Wish You the Best in your Studies.
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