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Please show all work and explain thoroughly, thank you.

Let X1, X2, . . . X, be independent identically distributed N( 5,4 ) ran- dom variables Find (use tables or software) t such that (a) PGX-51 > t) = .95 (b) P(>t)-05 (c) Pd: (부)2 > t) = .95 (d) P(HES) > t) .95 where s-IA-X)2 9/X,-5,2 3(x-5)

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