A book club announces the sweepstakes in order to attract new subscribers. The prizes and corresponding chances are listed here. prize: ($50,000) is the chance of 1 in one million; Prize: ($5,000) is 1 in 250,000; the prize: ($100) is 1 in 5,000; the prize ($20) is 1 in 500. Assume you've just mailed in the sweepstakes ticket and X stands for your winnings.
a. Mention the probability distribution of X. (Caution: what is not listed is the chance of winning nothing, but you can figure that out from the given information.)
b. Compute your expected winnings.