(a) Pr(X>0), (c) Pr(X<-3). (b) Pr(X>2) (d) Pr(X<-4),

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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A Gaussian random variable has a PDF of the form
√
fx(x) =
(a) Pr(X>0),
(c)
Pr(X <-3).
(e) Pr(X + 1 > 3),
(g) Pr(X+2] > 1),
NT
exp(-2(x + 1)²).
Write each of the following probabilities in terms of Q-functions (with positive
arguments) and also give numerical evaluations:
(b)
Pr(X>2)
(d) Pr(X<-4),
(f) Pr(|X+1 <2)
(h) Pr(X-1<2)
Transcribed Image Text:A Gaussian random variable has a PDF of the form √ fx(x) = (a) Pr(X>0), (c) Pr(X <-3). (e) Pr(X + 1 > 3), (g) Pr(X+2] > 1), NT exp(-2(x + 1)²). Write each of the following probabilities in terms of Q-functions (with positive arguments) and also give numerical evaluations: (b) Pr(X>2) (d) Pr(X<-4), (f) Pr(|X+1 <2) (h) Pr(X-1<2)
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