On a typical day, your clothing store takes care of 2.6 “special customers” on average. These customers are taken directly to a special room in the back, are assigned a full-time server, are given tea (or espresso) and scones, and have clothes brought to them. You may assume that the number who will arrive tomorrow follows a Poisson distribution.
a. Find the standard deviation of the number of special customers.
b. Find the probability that no special customers arrive tomorrow.
c. Find the probability exactly 4 special customers will arrive tomorrow.