Question
Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find the PDF fZ(z) of Z=max{X,Y} .
For z<0 or z>2 :
fZ(z)=
For 0ā¤zā¤1 :
fZ(z)=
For 1ā¤zā¤2 :
fZ(z)=
For z<0 or z>2 :
fZ(z)=
For 0ā¤zā¤1 :
fZ(z)=
For 1ā¤zā¤2 :
fZ(z)=
Answers
a. 0
b. 1/4
c. 3/4
b. 1/4
c. 3/4
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