Over a 1-week period, an officer of the state lottery commission sampled ticket purchasers at a single high-traffic location. The amounts labeled W for winnings, distributed back to the purchasers/winners, and the associated probabilities for 5000 tickets are shown below.
(a) Is this variable discrete or continuous? Plot the cumulative distribution of W by hand or spreadsheet, as instructed.
(b) Calculate the expected value of W per ticket.
(c) If tickets cost $2, what is the expected long-term income to the state per ticket, based upon this sample?
 FIGURE 1.png)
 ANSWER.png)
(b) E(W) = 0.95(0) + ... + 0.0007(100)
= 0 + 0.05 + 0.075 + 0.093 + 0.07
= $0.288 per ticket
(c) 2.000 – 0.288 = $1.712
Long-term income for the state is $1.71 per ticket
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