# Use the fact that the mean of a geometric distribution is 1

Last updated: 12/10/2023

Use the fact that the mean of a geometric distribution is 1 P and the variance is o The variance is The standard deviation is Round to one decimal place as needed q 1 100 A daily number lottery chooses two balls numbered 0 to 9 The probability of winning the lottery is 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 1000 Would you expect to make or lose money playing this lottery Explain a The mean is Type an integer or a decimal Type an integer or a decimal b You can expect to play the game times before winning Would you expect to make or lose money playing this lottery Explain 2 P OA You would expect to make money On average you would win 1000 once in every OB You would expect to lose money On average you would win 1000 once in every Let x be the number of times you play the lottery before times you play So the net gain would be times you play So the net gain would be