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The random variable X has the PDF

fX(x) = cx^-2 if 1 < x < 2;

0 otherwise:

(a) Determine the value c

(b) Let A be the event fX > 1.5. Calculate the conditional expectation and the

conditional variance of X given A.

I'm not understanding the concept of conditional pdf's. Can someone show me the step by step?

Also what would be the ranges for the conditional expectation. I know that fX(x) is from 1<x<2, and E[x] is taken from >1.5, so its range 0<x<0.5?

Also, because we want to calculate the even fX > 1.5, does that involve using the CDF?

Thank you.

fX(x) = cx^-2 if 1 < x < 2;

0 otherwise:

(a) Determine the value c

(b) Let A be the event fX > 1.5. Calculate the conditional expectation and the

conditional variance of X given A.

I'm not understanding the concept of conditional pdf's. Can someone show me the step by step?

Also what would be the ranges for the conditional expectation. I know that fX(x) is from 1<x<2, and E[x] is taken from >1.5, so its range 0<x<0.5?

Also, because we want to calculate the even fX > 1.5, does that involve using the CDF?

Thank you.

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