One professional golfer plays best on shortdistance holes Ex

One professional golfer plays best on short-distance holes. Experience has shown that the numbers x of shots required for 3-, and 5-par holes have the probability distributions shown in the table below.

Solution

a) E(X) = 2(0.11)+3(.80)+4(.06)+6(.03) =3.04

b) E(x) = 3(.15)+4(.80)+5(.04)+6(.01) = 3.91

c) E(x) =4(.03)+5(.80)+6(.13)+7(.04) =5.18