A Communication system accepts a constant positive voltage V as an input and it generates an output voltage Y =V +@ where o is a Gaussian random variable with u=0 and o =2. a) Find the value of V that gives P(Y < 0) =10³. b) Use the calculated value of V and sketch the PDF of Y, fy (y). Show and calculate the area corresponding to the probability P(Y < 4). c) What is the maximum value of Y? d) fr(4)=?

A Communication system accepts a constant positive voltage V as an input and it generates an output voltage Y =V +@ where o is a Gaussian random variable with u=0 and o =2. a) Find the value of V that gives P(Y < 0) =10³. b) Use the calculated value of V and sketch the PDF of Y, fy (y). Show and calculate the area corresponding to the probability P(Y < 4). c) What is the maximum value of Y? d) fr(4)=?

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

A Communication system accepts a constant positive voltage Vas an input and it generates an
output voltage Y =V +@ where o is a Gaussian random variable with u=0 and o =2.
a) Find the value of V that gives P(Y < 0)=10³.
b) Use the calculated value of V and sketch the PDF of Y, fy (y). Show and calculate the area
corresponding to the probability P(Y<4).
c) What is the maximum value of Y?
d) fy (4)=?

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