The average amount of money that people spend at Don Mcalds fast food place is $7.8700 with a standard deviation of $1.8400. 48 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( 7.8700 v, 1.840() b. What is the distribution of ? a- N( 7.8700 , .2656 v c. What is the distribution of x? ) x - N( d. What is the probability that one randomly selected customer will spend less than $8.0016? e. For the 48 customers, find the probability that their average spent is more than $8.0016. f. Find the probability that the randomly selected 48 customers will spend less than $384.0768. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 48 people who spend the most money. At least how much must a group of 48 spend in total to get the free sundae?

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