A magazine ran a sweepstakes in which prizes were listed along with the chances ofwinning: $1,000,000(1 chance in 90,000,000), $100,000 (1 chance in 120,000,000), $25,000 (1 chance in 120,000,000), $5,000 (1 chance in 36,667,000), and$2,500 (1 chance in 26,500,000). Complete a and b.

a. Assuming that there is no cost to enter thesweepstakes, find the expected value of the amount won for one entry.

b. Find the expected value if the cost of entering this sweepstakes is the cost of a postage stamp (3).