4 sums

Question 4 The average amount of money that people spend at Don Mcalds fast food place is $7.4900 with a standard deviation of $1.5300. 44 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 ~ N b. What is the distribution of ? I ~ N( c. What is the distribution of a? > a ~ Nd d. What is the probability that one randomly selected customer will spend more than $7.5340? e. For the 44 customers, find the probability that their average spent is less than $7.5340. f. Find the probability that the randomly selected 44 customers will spend less than $331.4960. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 44 people who spend the most money. At least how much must a group of 44 spend in total to get the free sundae? $