1. Customers at a gas station pay with choice A: a credit card, choice B: a debit card, or choice C: contact less payment(Google Pay, Apple Pay, etc). Assume that

successive customers make independent choices, with P(A)=0.45, P(B)=0.35,and P(C)= 0.2. Among the next 50 customers, what are the mean and variance of the number who use contactless payment? Indicate what kind of distribution you would use and explain your reasoning. (3 points)