The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 randomly selected lunch patrons are observed. Assume the...

Extracted text: The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible a. What is the distribution of X? X~ N(7.39 b. What is the distribution of ? a~ N(] c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.7112 and $8.2708 d. For the group of 41 patrons, find the probability that the average lunch cost is between $7.7112 and $8.2708 2.94 Yes ONo e. For part d), is the assumption that the distribution is normal necessary? Hint: