Question: Let X1, X2, . . . , X5 iid Normal( = 1.5, 2 = 0.1225) and S = X1 + X2 + + X5. Now

Let X1, X2, . . . , X5 iid Normal( = 1.5, 2 = 0.1225) and S = X1 + X2 + + X5. Now consider the following statements.

I. P(6 < S < 8) = 0.7115 II.

P(X 2) = 0.9993 where X = S/5.(X means Xbar)

Which of the above statement(s) is/are correct?

(A) Only I.

(B) Only II.

(C) Only I and II.

(D) Neither I nor II.

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