Let X have density g(x)=c(x-1)^2 for x in [0,2] a. Find c b. Find E(x) c. Find variance

Rough explanation of where the expression in b comes from:

I should have noted that w_k goes to w(x)dx in passing from the discrete to the continuous (so "mass" goes to "mass per unit length"*"(infinitesimal) length"; with "mass per unit length" being "density").

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Hi Alan,

I have not seen probability dealt with like this before.

I can understand part A and it sort of makes sense to me I think.

I am trying to work out the mathematical logic of what you have done it part b.

I get a glimmer of understanding but then it goes again.  Can you help me to understand this?

Thank you.

Thanks Alan, I will really have to think about this one.