Question: 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.

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 the show, given that John does.
c. Do John and Jane watch the show independently of each other? Justify your answer.

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