Get the answers you've been searching for with IDNLearn.com. Our experts are ready to provide prompt and detailed answers to any questions you may have.

A continuous probability distribution has density: [tex]f(x) = a(b-x)^{2} \mathbb{I}[0,b](x)[/tex]
a) If the expected value is equal to 1, find the values of a and b.
b) What is the variance of X?