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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