The average amount of money that people spend at Don Mcalds fast food place is $7.3800 with a standard deviation of $1.8000. 47 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution.

1. What is the distribution ofX?X~ N(________, __________)
2. What is the distribution ofx?x~ N(__________,___________)
3. What is the distribution ofx? x~ N(________,___________)
4. What is the probability that one randomly selected customer will spend more than $7.5861?
5. For the 47 customers, find the probability that their average spent is more than $7.5861.
6. Find the probability that the randomly selected 47 customers will spend more than $356.5467.
7. For part e) and f), is the assumption of normal necessary?Yes/ No
8. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 47 people who spend the most money. At least how much must a group of 47 spend in total to get the free sundae? $