### Number of bottles and the probability of each number

Please see the attached file for full problem description. 1. Given the number of bottles (0,1,2,3,4) and the probability of each number being overfilled in one month, what is the expected number of overfilled bottles per month? E(X) = SUM(x*P(x)) 2. Given n=4 & p=.3 for a binomial experiment, the