The amount of pollutants that are found in waterways nearlarge cities is normally distributed with mean 9 ppm andstandard deviation 1.3 ppm. 36 randomly selected largecities are studied. Round all answers to 4 decimal placeswhere possible.a. What is the distribution of X? X - N(b. What is the distribution of x? a - N(c. What is the probability that one randomly selectedcity's waterway will have less than 8.6 ppm pollutants?d. For the 36 cities, find the probability that the averageamount of pollutants is less than 8.6 ppm.e. For part d), is the assumption that the distribution isnormal necessary? O YesO No

Answered: Image /qna-images/answer/631897e8-e9af-4f47-aeef-31f456794363.jpg

Answered: The amount of pollutants that are found…

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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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X - the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that a randomly selected person at the hot springs stays longer then 85 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

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