normal random variable?4.6.3 Find each probability.(a) V is a Gaussian (u= 0, 0 = 2) randomvariable. Find P[V > 4].(b) W is a Gaussian (µ= 2, o = 5) randomvariable. What is P[W< 2?(c) For a Gaussian (, o = 2) random var-iable X, find P[X <+1].(d) Y is a Gaussian (= 50. 0 = 10) ran-dom variable. Calculate P[Y > 65.OM VARIABLES

Solution: Let V be the Gaussian ( normal ) random variable with mean μ=0 and standard deviation…

(a) V is a Gaussian (u= 0, o = 2) random variable. Find P[V> 4]. (b) W is a Gaussian (µ variable. What is PW< 2? = 2, 0 = 5) random (c) For a Gaussian (r, o = 2) random var- iable X. find PLX < +1]. (d) Y is a Gaussian ( = 50, a = 10) ran- dom variable. Calculate P(Y> 65].

(a) V is a Gaussian (u= 0, o = 2) random variable. Find P[V> 4]. (b) W is a Gaussian (µ variable. What is PW< 2? = 2, 0 = 5) random (c) For a Gaussian (r, o = 2) random var- iable X. find PLX < +1]. (d) Y is a Gaussian ( = 50, a = 10) ran- dom variable. Calculate P(Y> 65].

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

normal random variable?
4.6.3 Find each probability.
(a) V is a Gaussian (u= 0, 0 = 2) random
variable. Find P[V > 4].
(b) W is a Gaussian (µ= 2, o = 5) random
variable. What is P[W< 2?
(c) For a Gaussian (, o = 2) random var-
iable X, find P[X <+1].
(d) Y is a Gaussian (= 50. 0 = 10) ran-
dom variable. Calculate P[Y > 65.
OM VARIABLES

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