The average amount of money spent for lunch per person in the college cafeteria is $5.97 and the standarddeviation is $2.3. Suppose that 49 randomly selected lunch patrons are observed. Assume the distributionof money spent is normal, and round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N(b. What is the distribution of T? ¤ - N(c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost isbetween $5.57 and $6.d. For the group of 49 patrons, find the probability that the average lunch cost is between $5.57 and$6.e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

GivenMean(μ)=5.97standard deviation(σ)=2.3sample size(n)=49

Answered: The average amount of money spent for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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