You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given game is 0.5. in a tournament that consists of playing 60 games of rock-paper-scissors let x be the random variable that is the of number games won. assume that the probability of winning a game is independent of the results of previous games. you should use the normal approximation to the binomial to calculate the following probabilities. give your answers as decimals to 4 decimal places. a)find the probability that you win at least 35 of the games. p(x ≥ 35) =b)find the probability that you win less than 27 games. p(x < 27) =c)find the probability that you win between 30 and 40 games. p(30 ≤ x ≤ 40) =