) Two random variables X1 and X2 have a joint probability density function given as: -(2x1+3X2) ,X1, X2 20 p(x1,x2) = {{Ae otherwise
) Two random variables X1 and X2 have a joint probability density function given as: -(2x1+3X2) ,X1, X2 20 p(x1,x2) = {{Ae otherwise
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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![2 (a)
Two random variables X1 and X2 have a joint probability density function given as:
,-(2x1+3x2) x1,X2 2 0
p(x1, x2) = {Ae
otherwise
A is a constant. Find the correlation function and the marginal pdf p(x1).
(b)
For
a transmitted signal x(t) = 5V rectangular pulse, the received signal contaminated
by noise n(t) is given by
y(t) = x(t) + n(t)
(i)
(ii)
If the pdf of noise is Gaussian distributed, write down the pdf of y(t).
Also express this pdf in terms of Q-function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bb1cab5-76b3-4870-8eb1-4bcb8a6832f6%2F78e986f1-d725-4304-b168-6cae6d180844%2Fotoo6rn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2 (a)
Two random variables X1 and X2 have a joint probability density function given as:
,-(2x1+3x2) x1,X2 2 0
p(x1, x2) = {Ae
otherwise
A is a constant. Find the correlation function and the marginal pdf p(x1).
(b)
For
a transmitted signal x(t) = 5V rectangular pulse, the received signal contaminated
by noise n(t) is given by
y(t) = x(t) + n(t)
(i)
(ii)
If the pdf of noise is Gaussian distributed, write down the pdf of y(t).
Also express this pdf in terms of Q-function.
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