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b) A bottled water company has found in the past that 2% of their bottled water does not meet the company's high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probabil ity: i. Carefully defining the random variable of interest What is the probability distribution? State the values of the parameters Justifying the suitability of the probability distribution identified in part (ii, ii. iii.

b) A bottled water company has found in the past that 2% of their bottled water does not meet the company's high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probabil ity: i. Carefully defining the random variable of interest What is the probability distribution? State the values of the parameters Justifying the suitability of the probability distribution identified in part (ii, ii. iii.

MATLAB: An Introduction with Applications
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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Answer part b sections i, ii and iii

b) A bottled water company has found in the past that 2% of their bottled water does not meet the company's high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probability: Carefully defining the random variable of interest What is the probability distribution? State the values of the parameters Justifying the suitability of the probability distribution identified in part (ii, i. ii. iii. Calculate the probability that at most 2 bottles do not meet the company's Standards iv. The expected number of bottles that do not meet the company's standards. V. c) The amount of sodium sulfate, in mg, found in the bottled water follows a normal distribution with a mean 13mg and a standard deviation of 2.5mg. It is known that 76% of the bottles have a mean that is more than x mg. Find the value of x.
Transcribed Image Text:b) A bottled water company has found in the past that 2% of their bottled water does not meet the company's high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probability: Carefully defining the random variable of interest What is the probability distribution? State the values of the parameters Justifying the suitability of the probability distribution identified in part (ii, i. ii. iii. Calculate the probability that at most 2 bottles do not meet the company's Standards iv. The expected number of bottles that do not meet the company's standards. V. c) The amount of sodium sulfate, in mg, found in the bottled water follows a normal distribution with a mean 13mg and a standard deviation of 2.5mg. It is known that 76% of the bottles have a mean that is more than x mg. Find the value of x.
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