Speeds of cars in an expressway are monitored by high-speed camera units. The minimumspeed of cars in the expressway is 60 kph and the maximum speed is 100 kph. Cars goingbelow the minimum, or going above the maximum, are apprehended. Suppose that speed ofthe cars on the expressway are normally distributed with a mean of 75kph and a standarddeviation of 10 kph. What percentage of the cars travelling on the expressway will not beapprehended?Note: Write your answer as percentage with two decimal places (i.e. 87.26%).

Let X be the random variable from normal distribution with mean (μ) = 75 kph and standard deviation…

Answered: Speeds of cars in an expressway are…

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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According to a recent report the battery life for a new line of laptop computers has a mean of 9 hours with a standard deviation of 2.4 hours. If battery life is normally distributed what percentage of new laptops will last between 8 and 11 hours on a single charge?
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last less than 280 days.
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 71 kg and 83 kg? If samples of 100 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 71 kg and 83 kg?
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
If the weight of fertilizer in a 40-pound bag is normally distributed with a standard deviation of 0.5 pounds, what is the range of weights of bags of fertilizer within two standard deviations of the mean?
Fifty students took a Mathematics exam. Assume that their scores formed a normal distribution with a mean of 80 and standard deviation of 4. The Professor decided to adjust/curve the scores by creating z-scores. The top 2.5% would receive an A. What is the lowest score that would become an A?
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. 81.5% 16% 32% 34% 50%
Forty refrigerators from two different models of a refrigerator manufacturer are compared to see if the smaller model uses less energy than the larger model. The energy was measured in kilowatt hours per month (kwh/mo). From years of testing these models, it is known that the standard deviation of kwh/mo is 34 kwh/mo for the smaller model and 40 kwh/mo for the larger one. From this survey, the sample means and standard deviations are 125 and 34, and 90 and 40, respectively. If we conduct a hypothesis test, the decision and conclusion are Group of answer choices Do not reject the null hypothesis and conclude that the average kwh/mo are the same. Reject the null hypothesis and conclude that the average kwh/mo are different. Reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for the larger model. Do not reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for…
Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 64 mph and a standard deviation of 5 mph. What percent of cars are traveling faster than 64 mph?

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