3. You are working at a customer service desk, and were told to expect an average of 5 customers per work hour. Your workplace defines an hour as "high traffic" if there are 7 or more customers in that hour. (You get a pay bump for "high traffic" hours.) For this question, please feel free to make use of the following probability distribution function: K P(X = k) 0 0.0067 0.0337 0.0842 3 0.1404 0.1755 5 0.1755 6 0.1462 7 0.1044 > 7 0.1334 Table Q2: Probability Distribution function, X ~ P(M = 5). a) Determine the probability that no customers arrive in a work hour. b) Determine the probability that an hour earns the "high traffic" designation.c) Determine the probability that exactly 7 customers arrive in a work hour, given that the hour has earned the "high traffic" designation. d) Determine the probability that no customers arrive in a work hour, given that it is not a "high traffic" hour