1. Let's consider another aspect of the same pizza place from #1. Customers can choose to pick up the pizzals) themselves or to have their order delivered. Suppose 40% of the customers typically choose pick-up. We'll use the next twelve customers that call in as our sample. a. This problem fits the four criteria for being binomial because: There Is a number (n = I of Each customer is asked whether they want pick-up or delivery. There a; outcomes possible on each trial, M or _ . (Eljusl'sucoess' ma 'failure') The probabilities of each outcome do gg from trial to trial. For example, a bad storm doesn't suddenly come up that might increase the probability of choosing delivery. The trials gg . One person's choice does not change the probability of what another person will choose. b. How many of the 12 customers would c. What Is the standard deviation for the number: you expect to choose pick-up? of customers In the sample who choose m J FIND THE FOLLOWING PROBABILITIES USING THE METHOD INDICATED ON THE PROBLEM. REMEMBER, THERE ARE 12 CUSTOMERS IN THE SAMPLE. SHOW WORK. d. What Is the probability that exactly 2. What is the probability that m 8 will choose PICK-UP? (FORMULA) 5 choose DELIVERY. (FORMULA) f. What Is the probability that at most B What Is the probability that m 4 choose DELIVERY? (TABLES) 5 and 10 choose PICK-UP? (TABLES)