The average amount of money that people spend at Don Mcalds fast food place is $7.1200 with a standard deviation of 51.5700. 42 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ MS, ) b. What is the distribution of i? :E ~ MS, ) c. What is the distribution of Z 3:? Z 3: ~ N( 1:) d. What is the probability that one randomly selected customer will spend less than 56.8066? U DD e. For the 42 customers, find the probability that their average spent is less than 56.8066. f. Find the probability that the randomly selected 42 customers will spend less than 5285.8772. g. For part e) and f), is the assumption of normal necessary? 0 N00 Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 42 people who spend the most money. At least how much must a group of 42 spend in total to get the free sundae? S