The following table shows the probability distribution for a

The following table shows the probability distribution for a discrete random variable. What is the mean of this discrete random variable? (That is. what is A (X), the expected value of X?) 20 19.59 20.625 21

Solution

Expected value of probability distribution is given by: Sum of all p(x)* x

12*0.07 + 15*0.21 + 17*0.17 + 20*0.25 + 22*0.05 + 24*0.04 + 25*0.13 + 30* 0.08

= 19.59