We have the following information about the random variables X and Y: μχ μx = 1.5, y =2, 0x = 1, 0y = 1.5, Cov (X, Y) = 0.36. Calculate the standard deviation of Z = -2X + 4Y + 1, στ
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- The variable X has a normal distribution with mean u = 100 and standard deviation o = 8. The variable Y has a normal distribution with mean u = 85 and standard deviation o = 6. Variables X and Y are independent. (a) Find the mean, u, and standard deviation, o, of the sum X + Y. = = (b) Find the mean, u, and standard deviation, a, of the difference X - Y. O =Let the random variable X be defined on the support set (1,2) with pdf fX(x) = (4/15)x3, Find the variance of X.Let X be a random variable normally distributed with mean μx 1. Find the mean μy of Y. 2. Find the standard deviation oy of Y. 3. Find the PDF fy of Y and evaluate fy (5). (My, oy, fy (5)) = ___________). = 6 and standard deviation ox = 4. Let Y = 4X + 5.
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