finding pdf problem

martinluther

New member
Joined
May 3, 2018
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1
hi there, i got a problem about finding pdf of random variable x and the given data of the problem are a figure showing the relation between two random variables x and v as follow:

Screenshot (5).jpg

and it also gives the pdf of random variable v as:
exp(-v)
and the problem wants us to find pdf of random variable x and its mean
please help me to find the solution
thanks in advance
 
hi there, i got a problem about finding pdf of random variable x and the given data of the problem are a figure showing the relation between two random variables x and v as follow:

View attachment 9442

and it also gives the pdf of random variable v as:
exp(-v)
and the problem wants us to find pdf of random variable x and its mean
please help me to find the solution
thanks in advance

Can you quote the exact wording of the problem as given to you? The graph doesn't tell us everything we'd like to know, as it seems to imply that V is restricted to the interval (0, 3), which can't be true.

Also, please tell us what you know about pdfs, and show us what ideas you've had.

A key idea here will be that X is defined to be 0 when V is between 0 and 1, 2 when V is between 1 and 2, and so on. So X is a discrete random variable, while V is continuous. What does it mean to "find the pdf" of such a random variable? What form will it take?
 
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