An officer of the state lottery commission sampled lottery ticket purchasers over a 1-week period at one location. The amounts distributed back to the purchasers and the associated probabilities for 5000 tickets are as follows:

(a) Plot the cumulative distribution of winnings.
(b) Calculate the expected value of the distribution of dollars per ticket.
(c) If tickets cost $2, what is the expected long-term income to the state per ticket, based upon thissample?

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Distribution, $ 0 Probability 0.910.045 0.025 0.013 0.007 | 2 10 100