Determine the E(3X+2X^2), if E(X)=0.2 and E(X^2)=1.45

Answer 1

Hello Terdoo,

Expected value is linear, which means that if X and Y are two random variables and c is a constant,

E(X + Y) = E(X) + E(Y), and E(cX) = cE(X). Therefore,

E(3X + 2X²) = 3E(X) + 2E(X²)

E(3X + 2X²) = 3(0.2) + 2(1.45)

E(3X + 2X²) = 3.5

Hope that helps! Let me know if you need any further assistance.

William