Let X_1 and X_2 be two independent normal random variable with E(X_1) = 2, V(X_1
ID: 3217158 • Letter: L
Question
Let X_1 and X_2 be two independent normal random variable with E(X_1) = 2, V(X_1) = 1, and E(X_2) = 2, V(X_2) = 4. Determine the mean and variance of y = 2x_1 + X_2? A. y follows a normal distribution with mean of 6 and variance of 6. B. Y follows a normal distribution with mean of 6 and variance of 8. C. Y follows a non-normal distribution with mean of 6 and variance of 6 D. Y follows a non-normal distribution with mean of 6 and variance of 8. 15. Given the joint PM of two discrete random variables X and Y in table below, determine E(X) and E(XY) respectively. A. 0 and 1/2 B.0 and 1/8 C.1/2 and 1/4 D. None of the above. 16. Given E(X) = 0, E(y) = 0.5, V(x) = 2, V(Y) = 1, and E(XY) = 1, calculated the covariance X and Y. A. 0.5 B. 1 C. 1/Squareroot2 D. 0.5/2Explanation / Answer
14) option B is correct
15)option A is correct
16)option B is correct
17)option A is correct
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