' H D L l E 1 ; Question 7: 3 2T The prizes for the Powerball lottery are shown on this worksheet along with their corresponding probabilities. The price of a 5* ticket is $1.00 Find the mean and standard deviation of the payoff when you buy one lottery ticket. 6 7 Hint: Don't forget to include the cost of the ticket in the payoff. 3* 9_ 10 11 Divisions Prize Probability 12 Five plus Powerball $50,000,000 0.0000000068443 13 Match 5 $200,000 00000002806143 14 Four plus Powerhall $10,000 00000017110601 15 Match 4 $100 00000701459035 I 16 Three plus Powerball $100 0.0000838363514 17 Match 3 $7 00034246575342 18 Two plus Powerhall $7 0.0013404825737 19 One plus Powerhall $4 00078125000000 20 Zero plus Powerball $3 0.0142857142857 21 No Prize $0 09729806648327 3 23