The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 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(( 7.14 2.14 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 $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

The average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 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(( 7.14 2.14 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 $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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