The image contains educational content about applying the Empirical Rule to a normal distribution of potholes in a 10-mile stretch of freeway pavement.**Problem Statement:**The number of potholes in any given 10-mile stretch of freeway pavement is normally distributed. This distribution has a mean of 23 potholes and a standard deviation of 3 potholes.**Instructions:**Use the Empirical Rule and a sketch of the normal distribution to answer the following questions:a) **95% of the number of potholes** in any given 10-mile stretch of freeway pavement lie between ___ and ___.b) **What percentage of the number of potholes** in any given 10-mile stretch of freeway pavement lie between 20 and 29?c) **What percentage of the number of potholes** in any given 10-mile stretch of freeway pavement lie above 14?**Additional Help:**There is a video link provided for further assistance: [Video]**Submission:**There is a "Submit Question" button to submit answers.

given data normal distribution μ=23σ=3empirical rule : approximately 68-95-99.7% data fall within…

Answered: The number of potholes in any given 10…

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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Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
The annual per capita use of apples (in pounds) in the United States can be approximated by a normal distribution with a mean of 19.2 pounds and a standard deviation of 4 pounds. A) What annual per capita consumption represents the 10th percentile? B) What percentage of people in the United States consume more than 22 pounds of apples annually?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
Suppose the mean number of candies in a standard vending machine bag is 47.6 with a standard deviation of 1.3 . assume that the number of candies is normally distributed what percentage of bags have less than 45 candies?
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
. In a county male height is normally distributed with a mean of 177 cm and astandard deviation of 6 cm. What percentage of males have a height between 170cm and 182 cm.
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children
According to the records of an electric company serving the Boston area, the mean electric consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electric consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. What percentage of the households in this area have a monthly electric consumption of 1838 to 1940 kilowatt-hours? Round your answer to two decimal places. P= Enter your answer in accordance to the question statement %

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