Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finding Density on U(-1,1)

  1. Feb 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Suppose {Y1,......Yn} are random samples from U(-1,1) distribution. Find the density of V=(2Y1+1)^2

    2. Relevant equations

    Method of transformations for random variables

    3. The attempt at a solution

    I started this problem off by letting X=2Y1+1 because i figured i could find the density of that and then just find the density of V=X^2. I thought i had the problem right but when i went back to the density i got for X=2Y1+1 and integrated it over the interval, it didnt add up to 1. Not sure what i did wrong

    Attached Files:

  2. jcsd
  3. Feb 5, 2012 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Be careful about the range of the random variable. As Y1 ranges from -1 to +1, what is the range of 2Y1+1?

    Last edited: Feb 5, 2012
  4. Feb 5, 2012 #3
    -1 to 3 right?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook