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A service station has both self-service and full-service islands. On each island, there is a single...

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Basic Math

A service station has both self-service and full-serviceislands. On each island, there is a single regular unleaded pumpwith two hoses. Let X denote the number of hoses being used on theself-service island at a particular time, and let Y denote thenumber of hoses on the full-service island in use at that time. Thejoint pmf of X and Y appears in the accompanying tabulation.

P(x,y)y
x012
00.060.140.02
10.03a0.1
20.060.080.19

e.) What is E(Y|X=0)?

f.) What is Var(Y|X=0)?

l.) Standard deviation of X?

m.) Standard deviation of Y?

n.) Corr(X,Y)?

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