A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean and variance equal to 2. The voltage X is linearly transformed through the relation Y=X+2 to obtain the new voltage Y. What is the probability P[Y>2]?
A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean and variance equal to 2. The voltage X is linearly transformed through the relation Y=X+2 to obtain the new voltage Y. What is the probability P[Y>2]?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A noisy resistor presents a voltage X distributed as a Gaussian random variable with zero mean
and variance equal to 2. The voltage X is linearly transformed through the relation Y=X+2 to
obtain the new voltage Y. What is the
Expert Solution
Given
X : voltage of a noisy resistor
Therefore,
Also, Y=X+2
To find:
P[Y>2]
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