Problem: At a busy grocery store, all of the spaces in its parking lot have a time limit of 2 hours. The average time thatthe customer's car is parked in the lot 1 hour and 15 minutes. If the customer parks his/her vehicle over the 2hour limit, he/she will get a parking ticket of $35. Assume that each customer's parking time is independentfrom one another and all customers park in the lot.

Required:

a) Define a random variable for the grocery store customer's shopping time. Give the distribution andparameter(s) and state the support.

b) What is the probability that a customer gets a parking ticket?

c) Given that a customer has already parked for 1 hour (and is still shopping), what's the probability thathe/she gets a parking ticket?

d) Given that a customer did not receive a parking ticket, what is the probability that he/she parked for over1 hour?

e) What is the expected daily revenue from parking tickets for a particular day with 1000 customers parkingin the store's parking lot?