Question: Let (Y) have the density (N(5,36), X) have the density (N(4,25)), let (Y) and (X) be independent random variables, and define (W=X-Y). (a) Calculate (P(y>10)).
Let \(Y\) have the density \(N(5,36), X\) have the density \(N(4,25)\), let \(Y\) and \(X\) be independent random variables, and define \(W=X-Y\).
(a) Calculate \(P(y>10)\).
(b) Calculate \(P(-10 (c) Calculate \(P(w>0)\). (d) Find \(c\) such that \(P(w>c)=.95\).
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Solution Since both X and Y are independent normal distributions their sum W is also a normal distri... View full answer
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