The average amount of money that people spend at Don Mcalds fast food place is $7.8300 with a standard deviation of $1.8700. 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. a. What is the distribution of X? X - N( b. What is the distribution of a? a N( c. What is the distribution of r?) r - N( d. What is the probability that one randomly selected customer will spend less than $7.8308? e. For the 47 customers, find the probability that their average spent is more than $7.8308. f. Find the probability that the randomly selected 47 customers will spend less than $368.0476. 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 4% 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? $