20065ee131A_1_EE131AF06HW4

# 20065ee131A_1_EE131AF06HW4 - Assignment 4, EE 131A Due:...

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Assignment 4, EE 131A Due: Monday November 13, 2006 Problem 1. If the distribution function of a discrete random variable X is given by F X ( x ) = 0 if x < 0 , 1 2 if 0 x < 1 , 3 5 if 1 x < 2 , 4 5 if 2 x < 3 , 9 10 if 3 x < 3 . 5 , 1 if x 3 . 5 , calculate the probability mass function of X . Problem 2. The distribution function of a random variable X is defined as follows: F X ( x ) = 0 if x < 0 , 0 . 2 + 0 . 5 x 2 if 0 x < 1 , 1 if x 1 . It is shown in the following figure. 1 2 - 1 - 2 1 0 . 2 0 . 7 x F X ( x ) (a) What type of random variable is X ? (b) Find the following probabilities: P [ X < - 0 . 5] P [ X < 0] P [ X 0] P [0 . 3 X < 1] P [0 . 3 X 1] P [ X > 0 . 5] P [ X = 1] P [ X 5] P [ X < 5]

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Problem 3. Three balls are to be randomly selected without replacement from an urn containing balls numbering 1 through 20. The random variable
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## This note was uploaded on 06/09/2010 for the course EE 131A taught by Professor Lorenzelli during the Spring '08 term at UCLA.

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20065ee131A_1_EE131AF06HW4 - Assignment 4, EE 131A Due:...

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