Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1 100 A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the lottery is Let x be the number of times you play the lottery before winning the first time. (a) Find the mean, variance, and standard deviation. (b) How many times would you expect to have to play the lottery before winning? It costs $1 to play and winners are paid $900. Would you expect to make or lose money playing this

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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L
1
q
P
Use the fact that the mean of a geometric distribution is µ == and the variance is o² =
P
A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the lottery is
number of times you play the lottery before winning the first time.
(a) Find the mean, variance, and standard deviation. (b) How many times would you expect to have to play the lottery
before winning? It costs $1 to play and winners are paid $900. Would you expect to make or lose money playing this
lottery? Explain.
In
(a) The mean is. (Type an integer or a decimal.)
The variance is (Type an integer or a decimal.)
FLE
The standard deviation is
(Round to one decimal place as needed.)
(b) You can expect to play the game times before winning.
Would you expect to make or lose money playing this lottery? Explain.
OA. You would expect to make money. On average you would win $900 once in every
the net gain would be $
OB. You would expect to lose money. On average you would win $900 once in every
the net gain would be $
2
P²
DELL
Let x be the
times you play. So
times you play. So
Next
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Transcribed Image Text:L 1 q P Use the fact that the mean of a geometric distribution is µ == and the variance is o² = P A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the lottery is number of times you play the lottery before winning the first time. (a) Find the mean, variance, and standard deviation. (b) How many times would you expect to have to play the lottery before winning? It costs $1 to play and winners are paid $900. Would you expect to make or lose money playing this lottery? Explain. In (a) The mean is. (Type an integer or a decimal.) The variance is (Type an integer or a decimal.) FLE The standard deviation is (Round to one decimal place as needed.) (b) You can expect to play the game times before winning. Would you expect to make or lose money playing this lottery? Explain. OA. You would expect to make money. On average you would win $900 once in every the net gain would be $ OB. You would expect to lose money. On average you would win $900 once in every the net gain would be $ 2 P² DELL Let x be the times you play. So times you play. So Next or delivery Order: V4022851202-HEZHYAWHCL Purchase date: Oct 11, 2022 Your package arrives Wednesday, October 12 Hi R... mation for Supper Club on Thursday, October 13, 2022, 9:00 PM Supper Club Reservation cancelled Your reservation has been... at Tock Lic Tock Lắc Chicago, IL $52.25 Pending Amount $52.25 Source Cash Card Oc 8 8 8 8 8 8 Oct Oct 1 Oct 11 Oct 11
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