Expected Value and Probability

Question

Z -2 0 1 3 4

P(z) .2 .3 .3 .1 .1

Find E((z+3)(z-1))

Answer 1

Calculate the values of (z+3)(z-1) for each value of z given ( so 5 values)

Multiply each of these by p(z)

So when z = -2, (z+3)(z-1) = -3, so multiply -3 by 0.2 = -0.6

Add up the 5 values just calculated