Let (Y) have the density (N(5,36), X) have the density (N(4,25)), let (Y) and (X) be independent

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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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Mathematical Statistics For Economics And Business

ISBN: 9781461450221

2nd Edition

Authors: Ron C.Mittelhammer

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Question Posted: Feb 28, 2024 02:01 AM

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Let (Y) have the density (N(5,36), X) have the density (N(4,25)), let (Y) and (X) be independent

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Solution Since both X and Y are independent normal distributions their sum W is also a normal distri...View the full answer

Mathematical Statistics For Economics And Business

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