exam1_100a_f10

# Exam1_100a_f10 - University of California Los Angeles Department of Statistics Statistics 100A Exam 1 21 October 2010 Name Instructor Nicolas

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University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Exam 1 21 October 2010 Name: Problem 1 (15 points) Three cards are identical in form except that both sides of the ﬁrst one are colored green, both sides of the second card are colored blue, and one side of the third one is colored green and the other side blue. The three cards are mixed up in a hat, and one card is randomly selected and placed down on the ground. If the upper side of the chosen card is colored green, what is the probability that the other side is colored blue?

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(35 points) Answer the following questions: a. Suppose P ( A ) = 0 . 3 ,P ( B ) = 0 . 6, and P ( A B ) = 0 . 2. Find P ( A 0 | B ). b. You roll two dice repeatedly until you observe the sum of 10 or the sum of 7. What is the probability that the sum of 10 is obtained before the sum of 7? c. The probability mass function of a random variable X is given by p ( x ) = x x ! , with
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## This note was uploaded on 02/11/2012 for the course STATS 100A 262303210 taught by Professor Wu during the Fall '09 term at UCLA.

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Exam1_100a_f10 - University of California Los Angeles Department of Statistics Statistics 100A Exam 1 21 October 2010 Name Instructor Nicolas

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