Suppose that a random variable X has a continuous distribution with the probability density function (p.d.f) f(x)= [2x, for 0≤x≤1 [0, otherwise (1)-Find. E(X); (2) Find the expectation for Y = - X 0

What is the expected value of a continuous probability distribution given by the density function f(x) = 2x for 0 < x < 1?

2. where The random variable, X, has a probability density function (pdf), f(x), and zero otherwise. (a.) (b) x+1, f(x) = {1x, 1 81 -1/2 < x < 0 0

Suppose that a random variable X has the following probability density function. SC (64-x²) 0 ≤ x ≤ 8 otherwise f(x) = {C Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)