Question 7▼The amount of pollutants that are found in waterways near large cities is normally distributed with mean9.2 ppm and standard deviation 1.7 ppm. 9 randomly selected large cities are studied. Round all answers to4 decimal places where possible.a. What is the distribution of X? X - N(9.2b. What is the distribution of ? - N( 9.20.5667c. What is the probability that one randomly selected city's waterway will have less than 8.3 ppmpollutants?d. For the 9 cities, find the probability that the average amount of pollutants is less than 8.3 ppm.< >ppme. For part d), is the assumption that the distribution is normal necessary? O No Yesf. Find the IQR for the average of 9 cities.Q1 =Q3 =IQR:ppmppm1.7MacBook Air

Let X denotes the amount of pollutants that are found in waterways near large cities. Given that X…

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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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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Question
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 88 mph. d. 86% of all cars travel at least how fast on the freeway? mph. Submit Question
The average production cost for major movies is 69 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 18 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 69]] 21 00 b. What is the distribution of ? - N( 69 4.9497 c. For a single randomly selected movie, find the probability that this movie's production cost is between 65 and 69 million dollars. d. For the group of 18 movies, find the probability that the average production cost is between 65 and 69 million dollars. e. For part d), is the assumption of normal necessary? No Yes o
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The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.5 mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 17, find the probability that the average hand length is more than 184. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? Yes No
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places. A.X-NO B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm. C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? D. Find the IQR for the average of 18 cities. Q1 = Q3 = IQR:
Question C,D,and E please.
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