1. How many di erent possible permutations can be made from the word "STATISTICS" such thatthe same letters are always together?[2 Marks] (for example "SSSTTTAIIC")2. Suppose a recent survey conducted by Starbucks Co ee 72% of their customers were satis ed withtheir most recent meal. [4 Marks](a) Calculate the probability that exactly three of the next six customers will be satis ed.(b) Calculate the probability that more than three of the next six customers will be satis ed.(c) Calculate the mean and the standard deviation for this distribution.