Question

Suppose density function positively valued continuous random variable X has the probability a fx(x)kexp 20 fixed 0> 0 for 0 o0, some k > 0 and for (a) Find k such that f(x) satisfies the conditions for a probability density function (4 marks) (b) Derive expressions for E[X] and Var[X (c) Express the cumulative distribution function Fx(r) in terms of P(), the stan dard Normal cumulative distribution function (8 marks) (8 marks) (al) Derive the probability density function of Y X2 and identify the distribution of Y.

Answer 1

I have seen this type of p.d.f for first time. However I have tried to solve as my best. I didn't understand q. C but I tried to follow the rule. If you are not getting you can ask me. But plz don't give dislike.
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