The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a random variable having the probability distribution f(x)=1/6 for x=0,1,2,3,4, and 5. He also knows that there is a profit of $1.00 for each cake that he sells and a loss (due to spoilage) of $0.40 for each cake that he does not sell. Assuming that each cake can be sold only on the say it is made, find the baker's expected profit for a day on which he bakes
(a) one of the cakes;
(b) two of the cakes;
(c) three of the cakes;
(d) four of the cakes;
(e) five of the cakes.