Suppose X is a random variable with mean µx and variance σ 2 x . Let W ≡ (X − µx)/σx. Then, the mean and variance of W are given by A. µw = 0 and σ 2 w = 0. B. µw = 1 and σ 2 w = 2. C. µw = 0 and σ 2 w = 1. D. µw = 1 and σ 2 w = [infinity]. E. cannot be calculated.

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step-by-step explanation:

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: