Max Scherzer, the starting pitcher for the Nationals, on average, has a 0.250 probability of hitting the ball in a single "at bat". In one game, he gets 6 "at bats."
(a) Let X be the number of hits that Max gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
(b) Find the probability that he gets at least 4 hits in the one game. (Round the answer to 3 decimal places)