1a) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. What is the probability X is greater than 2. 1b) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. Using the Q-function, determine Prob{-4-2} Leave your answer in terms of the Q-function; do not evaluate it.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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1a) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance
of 9. What is the probability X is greater than 2.
1b) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a
variance of 9. Using the Q-function, determine Prob{-4<X<=-2}. Leave your answer
in terms of the Q-function; do not evaluate it.
1c) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a
variance of 4. Using the Q-function, determine Prob{X>-2} Leave your answer in
terms of the Q-function; do not evaluate it.
Transcribed Image Text:1a) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. What is the probability X is greater than 2. 1b) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. Using the Q-function, determine Prob{-4<X<=-2}. Leave your answer in terms of the Q-function; do not evaluate it. 1c) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 4. Using the Q-function, determine Prob{X>-2} Leave your answer in terms of the Q-function; do not evaluate it.
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