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Question 6:
The prizes for the Powerball lottery are shown on this worksheet along with their corresponding probabilities. Find the mean and standard deviation of the prize when you buy one lottery ticket.
Divisions | Prize (X) | Probability (f(X)) | |
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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