How do you compute the density function of X^2, given X is a Geo~(p)?

Here's what I've gotten so far:

P(X^2 = a) => P(X = sqrt(a)) = p*(1-p)^sqrt(a)

a can only take values 0, 1, 4, 9, 16, etc

Thanks!

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- October 6th 2007, 10:18 PMfeiyingxFinding the density function
How do you compute the density function of X^2, given X is a Geo~(p)?

Here's what I've gotten so far:

P(X^2 = a) => P(X = sqrt(a)) = p*(1-p)^sqrt(a)

a can only take values 0, 1, 4, 9, 16, etc

Thanks!