1)2)3)The input to a binary communication system x takes either o or 1 withprobabilities 0.75 & 0.25 respectively. Due to errors caused by the noise, the output differs fromthe input x occasionally. The behavior of the communication system is modeled by theconditional probabilities P(y = 1|x = 1) and P(y = 0[x = 0)= 7/8. Finda) P(y = 1) and P(y = 0),b) P(x = 1y = 1).A random variable X has the cumulative density function (CDF)x ≤ 00≤x≤ 10.x > 100,Fx(x) = kx²,100k,a) Find the value of k.b) Is this random variable discrete, continuous or mixed?c) Find the values of P(X ≤ 5)d) Find the value of P(5 ≤X ≤7)e) Plot the corresponding probability density function (PDF).X is a N (0,0²) random variable. This random variable is passed through asystem whose input-output relation is given by y = g(x). Find the PDF or the probability massfunction (PMF) of the output random variable Y in each of the following cases:a) Square law device, g(x) = ax²b) Limiter,c) Hard limiter,g(x) =g(x) ==-b,b,X,a,0,x ≤-bx ≥b.x 0x = 0.b, x < 0

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1) The input to a binary communication system x takes either o or 1 with probabilities 0.75 & 0.25 respectively. Due to errors caused by the noise, the output differs from the input x occasionally. The behavior of the communication system is modeled by the conditional probabilities P(y = 1|x = 1) and P(y = 0[x = 0)= 7/8. Find a) P(y = 1) and P(y = 0), b) P(x = 1|y = 1).

1) The input to a binary communication system x takes either o or 1 with probabilities 0.75 & 0.25 respectively. Due to errors caused by the noise, the output differs from the input x occasionally. The behavior of the communication system is modeled by the conditional probabilities P(y = 1|x = 1) and P(y = 0[x = 0)= 7/8. Find a) P(y = 1) and P(y = 0), b) P(x = 1|y = 1).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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