Calculate the expected value and variance of the following continuous PDF: f(x) = {{ 3 64 x if 0 x 4, otherwise. Check E(X)= Var(X) = Question 2 Tries remaining: 5 Calculate the expected value and variance of the following continuous PDF: 2x if 0x 1, f(x) = {} 0 otherwise. Marked out of 2.00 Flag question Check E(X)= Var(X) = Question 3 Tries remaining: 5 Marked out of 2.00 Flag question Calculate the expected value and variance of the following continuous PDF: 2e {ze f(x) = { 0 -2x if 0 < x < , otherwise. E(X)= Var(X) = Check Question 4 Tries remaining: 5 Marked out of 1.00 Flag question Let X be a random variable with a variance of 5. Find the variance of X +1. Check Answer: Var(X + 1) = Question 5 Tries remaining: Let X be a random variable with a variance of 4. Find the variance of 2X + 2. 5 Marked out of 1.00 Flag question Check Answer: Var(2x+2)= Question 6 Tries remaining: 5 Marked out of 1.00 Let X be a random variable with a variance of 1.0, and let Y be a random variable with a variance of 9.0. Let the covariance of X and Y be equal to half of the variance of X. Find the variance of 8X + Y. Answer: Var(8X + Y) = Flag question Check Question 7 Tries remaining: 5 Marked out of 1.00 Flag question Let X be a random variable with an expected value of 1, and let X 2 have an expected value of 6. Find the variance of X. Check Answer: Var(X) =