The average amount of money spent for lunch per person deviation is $2.02. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all...

Extracted text: The average amount of money spent for lunch per person deviation is $2.02. 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. the college cafeteria is $6.3 and the standard a. What is the distribution of X? X - N( 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 $6.123 and $7.3154. d. For the group of 6 patrons, find the probability that the average lunch cost is between $6.123 and $7.3154. e. For part d), is the assumption that the distribution is normal necessary? O Yes No Submit Question logi F4 F5 F6 E R. T. Y *CO 887 %24