Question: If X N(0, 1), (a) find P(X2 5). (b) Suppose X1, X2, ..., X8 are independent observations of X. Find P(X2 1 +

If X ∼ N(0, 1),

(a) find P(X2 ≥ 5).

(b) Suppose X1, X2, ..., X8 are independent observations of X. Find P(X2 1 + X2 2 +

· · · + X2 8 > 10.

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