The average amount of money that people spend at Don Mcalds fast food place is 57.8800 with a standard deviation of 51.8200. 43 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. b. What is the distribution of a? a - N(D,C]) . What is the distribution of Z 3:? Z :c - N( , ) . What is the probability that one randomly selected customer will spend more than 58.0538? e f . For the 43 customers, find the probability that their average spent is more than 58.0538. ' . Find the probability that the randomly selected 43 customers will spend less than $346,313; g. For part e) and f), is the assumption of normal necessary? Yes No . . The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 43 people who spend the most money. At least how much must a group of 43 spend in total to get the free sundae? S