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Probability Density Function of two Resistors in Parallel

  1. May 15, 2005 #1
    I have a problem where there are two resistors in parallel and I need to find the equivalent resistance. R1 = X and R2 = Y, and X and Y are independent random variables, uniform over the range of 100-120.

    If R equivalent = Z = XY/X+Y, what is probability density function of Z?
  2. jcsd
  3. May 15, 2005 #2
    Z also equals 1/(1/x +1/y) hope this helps..
  4. May 15, 2005 #3
    I know how to find Z when it equals X+Y by using convolution, but I don't know how to do it in this case. How do I find the inverse of X or Y?
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