Discrete random variables X and Y have joint probability mass function defined by the table below....

Discrete random variables X and Y have joint probability mass function defined by the table below.

X= { 0 , 1 , 2 } , Y= { − 2 , 0 , 2 }

y/x	0	1	2
-2	0.2	0.1	0.1
0	0.0	0.4	0.0
2	0.1	0.0	0.1

A.) Evaluate the expected value of X (round to 2 decimal digits)

B.) Evaluate the variance of X (round to 2 decimal digits)

C.) Evaluate the covariance of X and Y. (round to 2 decimal digits) Are X and Y independent?

D.) Let W=3X-2Y+4. What is the mean of W? What is the standard deviation of W? (round to 2 decimal digits)

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orchestra answered 1 year ago

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