ewr

September 2nd 2005, 09:19 AM

I'm starting to go back and try to understand things I didn't get the first time around, so I may be posting more questions. This question is from the Actex manual.

Problem Set 8, #19

The amount of liability claim Y in a motor vehicle accident has a uniform distribition on the interval (0,1) and the amount of property damage in that accident has a uniform distribution on the inverval (0,y^(1/2)). Find the density of X, the amount of property damage in an accident.

I know this problem appears before the transformation of random variables lesson on Chapter 9, but can you solve this using transformation of random variables? I tried this method, but got -2/x for the density. I didn't read this as a conditional density problem. The answer is actually 2(1-x)

Problem Set 8, #19

The amount of liability claim Y in a motor vehicle accident has a uniform distribition on the interval (0,1) and the amount of property damage in that accident has a uniform distribution on the inverval (0,y^(1/2)). Find the density of X, the amount of property damage in an accident.

I know this problem appears before the transformation of random variables lesson on Chapter 9, but can you solve this using transformation of random variables? I tried this method, but got -2/x for the density. I didn't read this as a conditional density problem. The answer is actually 2(1-x)