Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and that for second variable is 2. Define a new 3 *X + 4*Y 3*X - 4*Y Calculate the new mean and variance for each case.

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose that we have disjoint normal populations A and B with unknown population variances. Suppose…

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A: i) E(X|Y=y) = 0.7 -0.3yVar(X|Y=y) = 0.0004y ii) E(X) = Ey[E(X|Y = y)] = Ey (0.7 – 0.3y) = 0.7 – 0.3…

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