the fact that the mean of a geometric distribution is =1p and the variance is 2=qp2.

A daily number lottery chooses two balls numbered 0 to 9. The probability of winning the lottery is 1100. Let x be the number of times you play the lottery before winning the first time.

(a) Find themean, variance, and standard deviation.(b) How many times would you expect to have to play the lottery beforewinning? It costs$1 to play and winners are paid $600. Would you expect to make or lose money playing thislottery? Explain.

(a) The mean is

nothing

. (Type an integer or adecimal.)