Use the fact that the mean of a geometric distribution is muequals=StartFraction 1 Over p EndFraction 1 p and the variance is sigma squared equals StartFraction q Over p squared EndFraction2= q p2. A daily number lottery chooses twotwo balls numbered 0 to 9. The probability of winning the lottery is StartFraction 1 Over 100 EndFraction 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 $600600. Would you expect to make or lose money playing this lottery? Explain. Question content area bottom Part 1 (a) The mean is 100100. (Type an integer or a decimal.) Part 2 The variance is 99009900. (Type an integer or a decimal.) Part 3 The standard deviation is 99.599.5. (Round to one decimal place as needed.) Part 4 (b) You can expect to play the game enter your response here times before winning