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2. Let X1 and X2 be independent random variables with respective means / and /42, and respective standard deviations of and 02. Suppose Z is
2. Let X1 and X2 be independent random variables with respective means / and /42, and respective standard deviations of and 02. Suppose Z is a linear function of X of the form: Z = aXi+bX2 + c a ) Find the expected Value of Z in terms of a, b, c, #1, #2, 01, and 02. b ) Find the variance of Z in terms of a, b, c, #1, /42, 01, and 02- c ) Find the standard deviation.d ) Suppose a = 3, b = 4, c = 5 and #1 = 12, /12 = 13 and 01 = 2, 02 = 1, find the expected Value of Z e ) the variance, f ) and standard deviation
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