4. X is a uniformly distributed continuous random variable from 0 to 4. Y is a random variable with the following distribution. y/4 0

MATLAB: An Introduction with Applications
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4. X is a uniformly distributed continuous random variable from 0 to 4. Y is a random variable
with the following distribution.
y/4
fy (y) = {1 - y/4 2<y<4
0<y<2
a. Find the PDF of Z = X + Y.
b. Find the variance of Z.
otherwise
Transcribed Image Text:4. X is a uniformly distributed continuous random variable from 0 to 4. Y is a random variable with the following distribution. y/4 fy (y) = {1 - y/4 2<y<4 0<y<2 a. Find the PDF of Z = X + Y. b. Find the variance of Z. otherwise
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