Problem#4: The diameter of the dot produced by a printer is normallydistributed with a mean diameter of 0.002 inchdeviation of 0.0004 inch. (a) Whatdiameter of a dot exceeds 0.0026 inch? (b) What is the probabilityand a standardis the probability that thethat a diameter is between 0.0014 and 0.0026 inch? (c) What standarddeviation of diameters is needed so that the probability in part (b)is 0.995?

Let X denote the diameter of the dot produced by a printer is normally distributed with mean…

Answered: Problem#4: The diameter of the dot…

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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The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. The probability is 0.70 that the sample mean will be between what two values (symmetrically centered on the population mean)?
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 40 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (c) What is the probability that the sample mean is within 1 inch of the population mean for New York?.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
QUESTION 1 Let X be a normal random variable with mean u = 68 and standard deviation o =11. What is the probability that Xwill be (a). more than 79? (b). between 57 and 79? (c), less than 46?
The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 9.0 ounces and a standard deviation of 0.18 ounces. (Round all answers to 4 decimal places, if needed.)(d) The probability that the sample mean weight of this sample of 17 is greater than 8.95 is .(e) The probability that the sample mean weight of this sample of 17 is between 8.95 and 9.06 is .(f) There is only a 3% chance that the average weight of a sample of these 17 cheese wedges will be below .
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 10. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower? answer: (c) Consider someone with a maximum oxygen uptake of 31 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer:
The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation of $350. What is the probability that the mean of a random sample of weekly salaries of 50 employees will be at most $900? 0.0217 O 0.9783 O 0.3438 O Cannot be determined, because the distribution of the population is not normal.
The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month? The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams? The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 190000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 73 graduates.Find the probability that a single randomly selected policy has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < X < 187471.9) = (Enter your answers as numbers accurate to 4 decimal places.)Find the probability that a random sample of size n=73n=73 has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < M < 187471.9) = (Enter your answers as numbers accurate to 4 decimal places.)

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