Question 444095: John and Jane are married. The probability that John watches a certain television show is .4. The probability that Jane watches the show is .5. The probability that John watches the show, given that Jane does, is .7. a. Find the probability that both John and Jane watch the show. b. Find the probability that Jane watches he show, given that John does. c. Do John and Jane watch the show independently of each other? Justify your answer
Answer by edjones(8007)   (Show Source):
You can put this solution on YOUR website! Make a Venn diagram of the fraction of the time John and Jane are watching the show if you want to understand this.
A is John watching the show and B is Jane watching the show.
P(A n B)= P(A|B)*P(B)
=.7*.5
=.35 probability that both John and Jane watch the show.
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.35/.40=7/8 the probability that Jane watches he show, given that John does.
.
.05/.40=1/8 of the time John views when Jane doesn't.
.15/.50=3/10 of the time Jane views when John doesn't.
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Ed
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