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- May 5th 2010, 05:13 AM #1

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## need help pmf

1. The joint probability distribution of two discrete random variables X and Y are given by the following joint probability mass function:

P( X=x, Y=y ) = k | x – y |, x = 1, 2, 3 ; y = 2, 4, 5

= 0, otherwise.

(a) Find the constant k

(b) Find the marginal distributions of X and Y

(c) Calculate the correlation coefficient between X and Y

(d) Are X and Y Independent ?

- May 5th 2010, 07:05 AM #2

- May 5th 2010, 07:09 AM #3

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- May 5th 2010, 07:12 AM #4

- May 5th 2010, 07:15 AM #5

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- May 5th 2010, 07:42 AM #6