Let X and Y be two discrete random variables having the joint density function given in the following table: 1 2 h(y) Y 1/24 1/6 1/24 1/4 1/12 1/3 1/12 1/2 1/24 1/6 1/24 1/4 1/6 4/6 1/6 -1 1 g(x) 1 Find the covariance oxy. Let Z = 3X – 2Y – 1. Find the expectation and standard deviation of Z.

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Let X and Y be two discrete random variables having the joint density function
given in the following table:
0 1 2
h(y)
Y
1/24 1/6 1/24 1/4
1/12 1/3 1/12 1/2
1/24 1/6 1/24 1/4
-1
1
g(x)
1/6 4/6
1/6
1
Find the covariance
O XY.
Let Z = 3X – 2Y – 1. Find the expectation and standard deviation of Z.
Transcribed Image Text:Let X and Y be two discrete random variables having the joint density function given in the following table: 0 1 2 h(y) Y 1/24 1/6 1/24 1/4 1/12 1/3 1/12 1/2 1/24 1/6 1/24 1/4 -1 1 g(x) 1/6 4/6 1/6 1 Find the covariance O XY. Let Z = 3X – 2Y – 1. Find the expectation and standard deviation of Z.
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