The average amount of money spent for lunch per person in the college cafeteria is $7.06 and the standard deviation is $2.49. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? - N c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.94 and $6.98. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.94 and $6.98. e. For part d), is the assumption that the distribution is normal necessary? O Yes No