Midterm 2A1 SP10 Solutions

# Which of the following cannot be used to test for

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28. Which of the following CANNOT be used to test for independence? a.P(A|B) = P(B) b. P(A|B) = P(A c |B) c.Neither a nor b can be used to test for independence d. Both a and b can be used to test for independence 29. The variance of X – Y equals the variance of Y- X. 30. Suppose you have a deck of 52 cards and you draw one at random. Let A be the event the card is a 2, and let B be the event that the card is red. The events A and B in this situation are independent. a.YES b. NO 6

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Ans__ 0.24 ____ 8

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34. Suppose the wife is watching TV. What’s the chance she is watching by herself? ) ( ) ( ) | ( W P H and W P W H P C C = ) ( ) ( ) | ( W P H P H W P C C = 36 . 0 ) 6 . 0 1 )( 3 . 0 ( - = 36 . 0 12 . 0 = (Could read these off of the table) = 0.333 Ans__ 0.333 __ 35. Suppose you walk into the room where the TV is located. Which of the four possible situations is most likely to be going on? BRIEFLY justify using probabilities. Wife and husband both watching ___________ Neither is watching ____________ Wife is watching but husband is not ____________ Husband is watching but wife is not ____ X _______ Wife and husband both watching: P(W and H) = 0.24 Neither is watching: P(W C and H C ) = 0.28 Wife is watching but husband is not: P(W and H C ) = 0.12 Husband is watching but wife is not: P(W C and H) = 0.36 Husband is watching but wife is not is the most likely situation. It has the highest probability. Problems 36-39. Suppose 70% of teenagers send text messages on their phone, 80% of them have accounts on Facebook, and 60% of teenagers have both.
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