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
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?
Rough explanation of where the expression in b comes from:
I should have noted that wk 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").