The average amount of money spent for lunch per person in the college cafeteria is $5.74 and the standard deviation is $2.52. Suppose that 45 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-NO 5.74 2.52 b. What is the distribution of ? N 5.74 0.3757 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.7665 and $6.3244. 0.0875 d. For the group of 45 patrons, find the probability that the average lunch cost is between $5.7665 and $6.3244. 0.2333 e. For part d), is the assumption that the distribution is normal necessary? Yes No o

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