Casino games of pure chance? (e.g., craps,? roulette, baccarat, and? keno) always yield a? "house advantage." For? example, in the game of?double-zero roulette, the expected casino win percentage is 5.36% on bets made on whether the outcome will be either black or red.? (This implies that for every? $5 bet on black or? red, the casino will earn a net of about 36 ?cents.) It can be shown that in 100 roulette plays on?black/red, the average casino win percentage is normally distributed with mean 5.36?% and standard deviation 11?%. Let x represent the average casino win percentage after 100 bets on? black/red in? double-zero roulette. Complete parts a through c.
a. Find ?P(xgreater than>?0). ?(This is the probability that the casino wins? money ?(Round to three decimal places as? needed.)
b. Find P(6< x <15) (Round to three decimal places as? needed.)
c. Find ?P(x<2) ?(Round to three decimal places as? needed.)