SOLUTION: 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

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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