12. An electrical firm manufactures a 100-watt light bulb, which, according to specifications written onthe package, has a mean life of 900 hours with a standard deviation of 50 hours. At most, what percentageof the bulbs fail to last even 700 hours? Assume that the distribution is symmetric about the mean.

The given data is as follows:Population mean, Population standard deviation,

Answered: 12. An electrical firm manufactures a…

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 grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are between 1.42 and 3.7?
Suppose that grade point averages at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.45. Using the empirical rule, what percentage of the students have a grade point averages that are greater than 3.46?
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 84 and standard deviation ? = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)
How many times per day does an American access the internet? Suppose that the distribution of the number of times Americans access the internet per day varies from person to person with mean μ = 15 times per day, standard deviation ? = 12 times per day and that the shape of the population distribution is skewed to the right. Now suppose that the Gallup polling organization asks this question of an SRS of 64 adults and computes the mean response x .a. Describe the mean, standard deviation and shape of the sampling distribution of x (justify your claim about the shape of the sampling distribution, that is, what do you base your claim on). €Draw the sampling distribution of x and label the mean and the points that are one, two and three standard deviations either side of the mean of the sampling distribution. (10 Points)
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5. A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 43 ohms?
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Assume that the length of prison sentences for a particular crime (X) is normally distributed with mean 12 years and standard deviation 2.5 years. What sentence is longer than 85% of all sentences?
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 82 and standard deviation ? = 22. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)
Suppose that the daily intake of an adult follows a uniform distribution from 40 to 65 micrograms. Suppose that 36 adults are randomly selected. What is the mean and standard deviation of the average intake for 36 adults. a. Mean= 52.5 stvdev = 1.2 b. Mean = 55 stvdev= 7.22c. Mean = 52.5 stvdev = 2.08 d. Mean= 52.5 stvdev = 7.22
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)

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