Hello everyone,

The question asks to find the mean and variance of X = (1-Z)^(-1/2) where Z is randomly selected from [0,1].

Also recommends using a formula

I found the pdf for x= [1,infinity) and cdf

Calculating from here gives me an answer of 2. While the previous formula that uses CDF gives a different answer. Also I'm not sure how to find the second moment E(x^2), because it does not converge.

Any input on what I could be doing wrong is appreciated.

Thank you