Let X be a random variable with a probability density function given by f(x) = 0.25. If E(x) = 0, then var(-X) =
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Step 1
First, we need to find the expected value of -Zx. We know that E(-Zx) = -E(Zx) since -Zx is a linear transformation of X. We also know that E(Zx) = 0, since E(X) = 0 and Z is a standard normal random variable with mean 0. Therefore, E(-Zx) = -E(Zx) = 0. Show more…
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