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Question: rain x 0 no x 1 total long...

Question details

Rain (X = 0)

No (X = 1)

Total

Long (Y = 0)

0.15

0.07

0.22

Short (Y = 1)

0.15

0.63

0.78

Total

0.30

0.70

1.00

(a) Compute E(Y) and E(X)

(b) Compute σ y 2 and σ x 2:

(c) Compute σ xy (note σ xy = Cov(X,Y) and Corr(X,Y) Define two random variables, W=3+6X and V=20-7Y

Compute:

(d) E(W) and E(V)

(e) σ w 2 and σ v 2

(f) σ wv and Corr(W,V)

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