Question

Show using the definition of expected values for discrete random variables (Eq. 5.1) that for a discrete random variable, X, E(g(X)) = ∑g(x) p(x) where g(x) is linear. That is, show the formula is true assuming that g(x) = ax + b. You are showing that a special case of Eq. 5.2 is true; therefore, you many not use that formula in the derivation. Submission type: Submit entries below as answer to receive credit Save entries below (not submitted for credit yet)

Answer 1

Answer: E(ax+b) = aE(x) + b

Step-by-step explanation: see attachment below