The prizes for the Powerball lottery are shown on this worksheet along with their corresponding probabilities. The price of a ticket is $1.00. Find the mean and standard deviation of the payoff when you buy one lottery ticket. Hint: Don’t forget to include the cost of the ticket in the payoff. Divisions Prize Probability Five plus Powerball $50,000,000 0.0000000068443 Match 5 $200,000 0.0000002806143 Four plus Powerball $10,000 0.0000017110601 Match 4 $100 0.0000701459035 Three plus Powerball $100 0.0000838363514 Match 3 $7 0.0034246575342 Two plus Powerball $7 0.0013404825737 One plus Powerball $4 0.0078125000000 Zero plus Powerball $3 0.0142857142857 No Prize $0 0.9729806648

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The prizes for the Powerball lottery are shown on this worksheet along with their corresponding probabilities. The price of a ticket is $1.00. Find the mean and standard deviation of the payoff when you buy one lottery ticket.

Hint: Don’t forget to include the cost of the ticket in the payoff.

Divisions Prize Probability
Five plus Powerball $50,000,000 0.0000000068443
Match 5 $200,000 0.0000002806143
Four plus Powerball $10,000 0.0000017110601
Match 4 $100 0.0000701459035
Three plus Powerball $100 0.0000838363514
Match 3 $7 0.0034246575342
Two plus Powerball $7 0.0013404825737
One plus Powerball $4 0.0078125000000
Zero plus Powerball $3 0.0142857142857
No Prize $0 0.9729806648327
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