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PLEASE SOLVE USING EXCEL FUNCTIONS Question 6: The prizes for the Powerball lottery are shown on...

PLEASE SOLVE USING EXCEL FUNCTIONS

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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