Question: Let X1,..., X15 be independent identically distributed N(4.5, 0.88) random variables, with an average . (a) Calculate P(4.2 4.9). (b) Find the

Let X1,..., X15 be independent identically distributed N(4.5, 0.88) random variables, with an average .
(a) Calculate P(4.2 ≤ ≤ 4.9).
(b) Find the value of c for which
P(4.5 - c ≤ ≤ 4.5 + c) = 0.99.

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