You flip a fair coin twice. X is 2 if the first coin is headed and 4
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Question:
You flip a fair coin twice. X is 2 if the first coin is headed and 4 if the first coin is tails. Y is 2 if the second coin is headed and 4 if the second coin is tails. Z is the product of X and Y where Z = XY. a) Calculate var(X + Y ).
b) Calculate Cov(X, Y ).
c) Calculate cov(Z, Y ).
d) Calculate E[Z|Y = 2].
e) Are X and Y independently distributed?
f) Are Z and Y independent?
Related Book For
Essential Statistics
ISBN: 9780134134406
2nd edition
Authors: Robert Gould, Colleen N. Ryan, Rebecca Wong
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