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A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the...

A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the lottery is 1/100.

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 $200. Would you expect to make or lose money playing this​ lottery? Explain.

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