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navneethc
Questions (1)
Let X be a non-negative random variable. Find the PDF of the random variable Y=lnX for each of the following cases:
For general
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Answers (1)
Firstly, I assume N=K in your solutions. The expected value and variance of X can be found via Law of Iterated Expectation (LIE) and Law of Total Variance (LTV): E[X]=E[E[X|K]], var(X)=E[var(X|K)]+var(E[X|K]) For the expectation, your approach is correct,
