The amount of pollutants that are found in waterways near large cities is normally distributed with mean8.9 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(b. What is the distribution of X? ~ N(c. What is the probability that one randomly selected city's waterway will have more than 9 ppmpollutants?d. For the 9 cities, find the probability that the average amount of pollutants is more than 9 ppm.e. For part d), is the assumption that the distribution is normal necessary? O No Yes

Answered: Image /qna-images/answer/da6ff05b-995c-400c-80a2-331e487e651e.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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 10 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 71 10 b. If one car is randomly chosen, find the probability that it is traveling more than 70 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 73 and 76 mph. d. 69% of all cars travel at least how fast on the freeway? mph.
a. The standard deviation of 25 scores is 10, the mean is 29, the median is 24 and the mode is 23. What is the coefficient of skewness? Describe the distribution. b. The following are scores of 8 students in Algebra: 89, 88, 77, 84, 83, 92, 91 and 96. Find the coefficient of skewness.
Here are the monthly wage scales of 8 workers from XYZ Knit Works. 15 13 18 12 21 13 26 22 a. Determine the mean of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the variance of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places
Please choose the correct answer. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? A. 2 B. 3 C. 5 D. 10 8. How would you interpret a very small variance or standard deviation? A. The values of the random variables are equal to the mean. B. The values of the random variable are farther from the mean. C. The values of the random variable are closer to the mean. D. The values of the random variables have no relationship with the mean.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X N b. Find the probability that a randomly hit fly ball travels less than 260 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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 amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6 ounces. 11 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.
Please answer B, C, and D.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
39
Suppose that speed at which cars go on the freeway is normally with 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places were possible.
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6

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