Question

Use the probability distribution given in the table below and consider two new random​ variables, W​ =  7+2X and V​ =4+1Y​,

to answer the following questions

Joint Distribution of Weather Conditions and Commuting Times
	Rain​(X= 0)	No Rain(X= 1)	Total
Long commute(Y= 0)	0.58	0.14	0.72
Short commute(Y= 1)	0.05	0.23	0.28
Total	0.63	0.37	1.00

A.Compute the mean of W.

E(W)​= (Round your response to two decimal places​)

B.Compute the mean of V.

E(V)​= (Round your response to two decimal places​)

C. Compute the variance of W.

W​= (Round your response to four decimal places​)

D. Compute the variance of V.

V​= (Round your response to four decimal places​)

E.Compute the covariance between W and V.

sigma Subscript WVσWV = ​(Roun your response to four decimal places​)

F.Compute the correlation between W and V.

corr left parenthesis Upper W comma Upper V right parenthesiscorr(W, V)

Answer 1

Solution : ( A )

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Solution : ( B )

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Solution : ( C )

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Solution : ( D )