Question 5 (a: 1; b: 1; c: 1; d: 2; e: 3; total: 8 marks) The customer service desk at a grocery store averages 20 customers per hour. a) In a 15-minute period, what is the probability the desk has no more than 2 customers? b) In a 6-minute period, what is the probability the desk has at least 1 customer? c) What is the probability the desk goes more than 6 minutes between customers? d) What is the probability the desk goes more than 12 minutes in total between customers if it has already been 9 minutes since the last customer? e) What is the most number of customers the desk can expect in a 12-hour period at least 88.89% of the time? Round to the nearest whole number.