You work as a shift manager of the local Safeway and manage your staff. You believe shoppers trips to your store follow a Poisson distribution with the typical shopper averaging 36 trips to the store over a 180-days period. a) How many times do you expect a typical shopper to visit the store in a 30-days period? (SHOW WORK)

b) What is the probability a typical shopper visits the Safeway 3 times in a 30-days period? ( SHOW WORK; round to 4 decimal places)

c) What is the probability a typical shopper visits the Safeway at the most two times during a 30-days period? (SHOW WORK; round to 4 decimal places)

d) What is the probability a typical customer visits the store at least twice during a 30-days period? (SHOW WORK; round to 4 decimal places)