The Enticing Entrees restaurant is a thriving fine dining establishment in Regina: a) Dinner guests at the Enticing Entrees restaurant often order a freshly-brewed cup of coffee after their meal. Gwenda, the head-server, has noticed that half of the coffee- drinking guests have cream in their coffee, while a quarter prefer milk and the rest prefer to take it black. If six coffee-drinking guests are selected at random, what is the probability that an odd number of them will take their coffee black? b) Naturally, tea is also available at the Enticing Entrees restaurant, and Albert, the experienced head-waiter, has observed that the number of orders for tea tends to follow a Poison distribution with an average of 5 orders per hour. What is the probability of there being exactly 4 orders for tea between 5:45 p.m. and 6:30 p.m.? c) What is the probability that no more than 2 orders for tea are made between 7:20 p.m and 8:50 p.m.? d) Determine the probability that the time before the next tea order is between 15 and 30 minutes.