Let X be a random variable with probability mass functionx -3 6 9pX (x) 1/6 1/2 1/3Find E(X), E(X2) and E(2X + 1)2

Let X be a random variable with probability mass functionx -3 6 9pX (x) 1/6 1/2 1/3Find E(X), E(X2) and E(2X + 1)2

Let X be a random variable with density functionfX (x) = k1 + x2 , −∞ < x < ∞.Determine k and the distribution function

A random variable X has the distribution functionx: 0 1 2 3 4 5 6 7P(x): 0 k 2k 2k 3k2k22kkk 27Then evaluate)

If X is a random variable such that E(X)= 3 and E(X2)=13, use Chebychev's inequality to determine a lower bound for P(-2<X<8).

Let f (x) be a function that f ′(x) = x2 + 2x + 2. Suppose that f (−1) = −1. What is f (2)?A. -1B. 1C. 11D. 17E. -17