The density function of X is given by f(x) = = (a + bx2, 0 ≤x≤1 0, elsewhere If E = [x] = = find a, b

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

Suppose you choose a real number X from the interval [2, 10] with a density function f(x) = 1/48x. Find P(X > 5)

Compute E[X] if X has a density function given by