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16 July, 05:09

Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.

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  1. 16 July, 05:30
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    Let X be the rectangular distribution

    where X is uniformly distribute (3,1)

    b=1

    a=1

    The PMF will be

    f (x) = 1/b-a

    f (x) = 1/3-1

    f (x) = 1/2

    f (x) = 0.5
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