A daily number lottery chooses threethree balls numbered 0 to 9. the probability of winning the lottery is startfraction 1 over 1000 endfraction 1 1000. 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.

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.