Problem 1A company produces tubes that gets put together to gasstubewires. The company has a machinethat produces tubes, to a tubewire that is supposed to me about 12 meters long. The length totubes produces by the machine is normal distribution . In the first period (point a) and b)) weassume that the length to the tubes has an expectations µ = 12 and a standard deviation o = 0.1meters.a) i: Explain briefly what it means that the tubes as expectation u = 12.probability that a random chosen tube is longer than 12.2 meters?iii: What is the probability that the length of as random tube is between 11,9 and 12.1meters? iv: Which length is 90% of the tubes longer then?ii: What is theb) The company has gotten a mission to produce a 10.8 kilometers (10800 meter) long tubewire. They have a margin of error at + 5 meters, that means that they can deliver a țubewire5 meters shorter or longer than the original 10,8 kms. The company wants to produce 900tubes to the tubewire, and the total length to the tubewire is the length of the tubescombined. Assume that every tube produces by the company machine has a lengthindependent of the other rubes.i: What is the expected total length to the tubewire?ii: What is the variance to the total length?iii: What is the probability that the tubewire gets too short or long (gets a length longer ogshorter than the allowed margin of error)?iv: If the standard deviation to the length of the tubes , o, could adjust to another value, whatvalue does it have to be for the probability of tubewire getting too long or short is 0.01? Before the production starts one of the engineers suggests to check if the machine is correctlyadjusted so that the expected length of the tubes really is 12 meters. To check this they produce12 tubes. The results of the length of the tubes is given under. We assume that the rest of the taskis u is unknown, but we still have that o = 0.1 and that the length of the tubes is independent..Results(meters):11.87 11.82 11.99 12.01 11.93 11.98 12.08 12.11 11.92 11.79 12.02 12.07c) i: Calculate the average and median to the results.ii: Find a 95% confidence interval for u.iii: How many test has to be done for the confidence interval to be 95% for u with the lengthat maximum 0.02?

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Description: Problem 1A company produces tubes that gets put together to gasstubewires. The company has a machinethat produces tubes, to a tubewire that is supposed to me about 12 meters long. The length totubes produces by the machine is normal distribution . I

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A company produces tubes that gets put together to gasstubewires. The company has a machine that produces tubes, to a tubewire that is supposed to me about 12 meters long. The length to tubes produces by the machine is normal distribution . In the first period (point a) and b)) we assume that the length to the tubes has an expectations µ = 12 and a standard deviation o = 0.1 meters. ii: What is the a) i: Explain briefly what it means that the tubes as expectation u = 12. probability that a random chosen tube is longer than 12.2 meters? iii: What is the probability that the length of as random tube is between 11,9 and 12.1 meters? iv: Which length is 90% of the tubes longer then?

A company produces tubes that gets put together to gasstubewires. The company has a machine that produces tubes, to a tubewire that is supposed to me about 12 meters long. The length to tubes produces by the machine is normal distribution . In the first period (point a) and b)) we assume that the length to the tubes has an expectations µ = 12 and a standard deviation o = 0.1 meters. ii: What is the a) i: Explain briefly what it means that the tubes as expectation u = 12. probability that a random chosen tube is longer than 12.2 meters? iii: What is the probability that the length of as random tube is between 11,9 and 12.1 meters? iv: Which length is 90% of the tubes longer then?

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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