For an experiment, roll 2 fair dice. Let the random variables, X = sum of the 2 dice  Y = larger value - smaller value (if the 2 dice are the same value, let Y =0) (a) Find the mean and variance of W1 = 2x-3y (b) Find the covariance between W1 and W2 = x + y

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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For an experiment, roll 2 fair dice.

Let the random variables, X = sum of the 2 dice 

Y = larger value - smaller value (if the 2 dice are the same value, let Y =0)

(a) Find the mean and variance of W1 = 2x-3y

(b) Find the covariance between W1 and W2 = x + y

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