Question 5 The average amount of money spent for lunch per person in the college cafeteria is $5.56 and the standard deviation is $2.46. Suppose that 6 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 I? I - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.6836 and $8.0758. d. For the group of 6 patrons, find the probability that the average lunch cost is between $6.6836 and $8.0758. e. For part d), is the assumption that the distribution is normal necessary? O YesO No Submit