Question: Let X1, X2, X3 be independentnormal random variables which all havemean 13.4 and standard deviation 1.3. 1) a) Find the mean of X1 + 3X2

Let X1, X2, X3 be independentnormal random variables which all havemean 13.4 and standard deviation 1.3.

1) a) Find the mean of X1 + 3X2 - 2X3. Number (exact value) b) Find the standard deviation of X1 + 3X2 -2X3. Number (enter your answer correct to at least 3 decimal places) c) Find P(X1 + 3X2 -2X3 14.31) (enter your answer correct to at least 3 significant figures) b) Find P(X1 > 14.31 | X] > 12.75) (enter your answer correct to at least 3 significant figures) c) Find P(X1 > 14.31 | X2 > 12.75) (enter your answer correct to at least 3 significant figures)

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