In a game of roulette a wheel consists of 38 slots numbered

In a game of roulette, a wheel consists of 38 slots numbered 0,00,1,2..... 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35; otherwise you lose $1. Complete c through g.

c. suppose that you play the game 80 times so that n=80. describe the sampling distribution of x, the mean amount won per game. when are the mean and standard deviation of the sampling distribution of x? round your result to the nearest penny.

d.what is the probability of being ahead after playing the game 80 times? that is, what is the probability that the sample mean is greater than 0 for n=80

e. what is the probability of being ahead after playing the game 160 times? p(x>0) ( decimal rounded to four decimal places) f. what is the probability of being ahead after playing the game 800 times p(x>0)=

g. what lesson does this teach you?

Solution

c)

sampling distribution of x : binmomial

mean : 80 * 0.5 = 40

SD = srqt ( 80*0.5*0.5) = 4.47

for the other literals I can gladly help you but you should post it in a new question