1. Of 25 people invited to a birthday party, 5 prefer Pepperoni and Cheese pizza, 8 prefer Hawaiian, and 4 prefer Veggie. The host surveys 6 of these people at random to determine how many pizzas from each kind to buy. a) What is the probability that at least 3 of the people surveyed prefer Hawaiian? b) What is the probability that none prefer Veggie? c) What is the expected number of people who prefer Pepperoni and Cheese? d) What is the expected number of people who do not have a preference for any of the three flavours