Customers arrive randomly at a checkout counter at an average rate of 2 every five minutes. PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS. a) What is the probability that none arrive in a five minute period? The probability that none arrive in a five minute period is b) What is the probability that more than four arrive in a ten minute period? The probability that more than four arrive in a ten minute period isBinomial Distribution. We conduct 8 trials with a probability IT=.63 of success. (Round all answers to 3 decimal places as needed.) (a) Find the probability of exactly 3 successes P(X = 3) (b) Find the probability of (strictly) less than 3 successes P(X3) (e) Find the probability of 3 or more successes P(X23) REMARK: the answer to (a) + the answer to (d) must give the "same" result as (e)! Note: this last question might be phrased as "at least 3" successes- beware of the foibles of the English language