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}
find fZ(z)
1. For z<0 or z>2 :
2. For 0ā¤zā¤1 :
3. For 1ā¤zā¤2 :
find fZ(z)
1. For z<0 or z>2 :
2. For 0ā¤zā¤1 :
3. For 1ā¤zā¤2 :
Answers
1. 0
2. z
3. 1/2
My guess, not too sure
2. z
3. 1/2
My guess, not too sure
2*z
z
0.5
My answer
z
0.5
My answer
i get :
0
1 because 1 is the max of (X,Y) during that interval
1/2
why do you guys get z?
0
1 because 1 is the max of (X,Y) during that interval
1/2
why do you guys get z?
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