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January 31, 2015

January 31, 2015

Posted by **CC** on Tuesday, June 21, 2011 at 12:15am.

1) find probability that both John & Jane watch the show.

2) Find the probability that Jane watches the show, given that John does.

3) Do John & Jane watch the show independently of each other?

- Business Statistics -
**Nova**, Saturday, July 23, 2011 at 2:43amA

P(Jane and John) = P(John | Jane) * P(Jane) = (0.7) * (0.5) = 0.35

B

P(Jane | John) = P(Jane and John) / P(John) = (0.35) / (0.4) = 0.875

C

P(Jane) * P(John) = (0.5) * (0.4) = 0.20

P(Jane and John) ≠ P(Jane) * P(John) = 0.35 ≠ 0.20

The two events are not independent do to the fact that P(Jane and John) ≠ P(Jane) X P(John). With that being said, John and Jane do not watch the show independently of each other.

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