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1. Two normal random variables X and Y are jointly distributed with Var(X) 25 and Var(Y) 1600. It is known that P(Y>80| X = 5

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Answer #1

Sotution 9iven that The two normal andom vaniables xjy ane jointly dishulbuted VanC 25 G VanD 95 5 Van(y 16oo y Vanty PlY2/o)

lo.4) Steitaly using pl Y>2240) 2 -P o 7886 ( Qh 22-P (1-0.78e6 Eyuati ons he 80- P (S0) G (988E:9 -1) ,-D 8-4so 22 P (988t

4(-o 88J 22 320P - 548796 22-320p P o1263y what Erpeeted olue of y gien so? Hhe Th vpated va of y given € (У1x350) E ( 1/-so)

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