1. At a certain pizza place, only take-out orders are accepted. (There is no dine-in.) They do not accept orders for more than six pizzas without one day's warning and it is possible that a phone call could come in where the customer asks for information but no pizzas are ordered. Thus the possible values for the number of pizzas ordered per phone call are listed below, along with the probabilities that each will occur. X = X 0 2 3 4 5 6 P(X) .04 .24 .35 .18 .11 .06 .02 a. Is this a valid probability distribution? Why or why not? (Remember, there are two criteria.) b. What is the probability that a person who calls will order: (SYMBOLIZE THE STATEMENT FIRST) exactly two pizzas? at most 3 pizzas? c. When a person calls, how many pizzas d. What is the standard deviation for the would you expect him/her to order? number of pizzas ordered by phone? (Show all work.) (Show all work.)