Doordash has campaigned that it gets 92.5% of the deliveries on time compared to UberEATS which has a delivery time of 88% and Postmate which has a delivery time of 91%. A food columnist decided to survey 14 customers of all three delivery companies:

1. a) What is the probability that at most half of the customers surveyed say that their Postmate orders were delivery on time?
2. b) What is the probability that at least six of the respondents say that their Doordash orders were delivered on time?
3. c) What is the probability that fewer than eight of the respondents say UberEATS delivered their food on time?
4. d) What is the mean and standard deviation of the binomial distribution of all three delivery companies?