Solve d only fast The average amount of money spent for lunch per person in the college cafeteria is$7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunchpatrons are observed. Assume the distribution of money spent is normal, and roundall answers to 4 decimal placeswhere possible.a. What is the dist ibution of X? X - N( 7.15b. What is the distribution of ? I - N( 7.15c. For a single randomly selected lunch patron, find the probability that this2.64V 0.1515patron's lunch cost is between $6.6362 and $7.0208.d. For the group of 46 patrons, find the probability that the average lunch cost isbetween $6.6362 and $7.0208.e. For part d), is the assumption that the distribution is normal necessary? O NoOYes

Given,sample size(n)=46mean(μ)=7.15standard deviation(σ)=2.64

The average amount of money spent for lunch per person in the college cafeteria is $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. , 2.64 a. What is the distribution of X? X- N( 7.15 b. What is the distribution of ? - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. 0.1515 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 $7.15 and the standard deviation is $2.64. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. , 2.64 a. What is the distribution of X? X- N( 7.15 b. What is the distribution of ? - N( 7.15 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.6362 and $7.0208. d. For the group of 46 patrons, find the probability that the average lunch cost is between $6.6362 and $7.0208. 0.1515 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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