5.Let X~N(3, 4) and let Y ~ N(2, 3). Define S = X + 3Y, where X and Y arestatistically independent RVs. Evaluate Pr{S > 5}?25²434572 43Mx (s)My (s)Jon=(35²/2)42= e=to keybeFyly) = √ Fx (mb)latCDFP (S> 5) = F₂(x65) =)F( S = MA (s) + 3 My (s)1

Given that: X~N3,4Y~N2,3S=X+3Y, X and Y are…

Answered: Let XN(3, 4) and let Y~ N(2, 3). Define…

Let XN(3, 4) and let Y~ N(2, 3). Define S = X + 3Y, where 'X and Ya atistically independent RVs. Evaluate Pr{S > 5}? 45²/2 43 25²43

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 43E

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Question

5.
Let X~
N(3, 4) and let Y ~ N(2, 3). Define S = X + 3Y, where X and Y are
statistically independent RVs. Evaluate Pr{S > 5}?
25²43
4572 43
Mx (s)
My (s)
Jon
=
(35²/2)42
= e
=
to keyb
e
Fyly) = √ Fx (mb)
lat
CDF
P (S> 5) = F₂(x65) =)
F( S = MA (s) + 3 My (s)
1

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