Question 13: Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 17.9 years and a standard deviation of 1.1 years.Find the probability that a randomly selected quartz time piece will have a replacement time less than 14.6 years?P(X < 14.6 years) = CorrectEnter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.If the company wants to provide a warranty so that only 3.3% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty?warranty = yearsEnter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Company XYZ know that replacement times for the quartz time pieces it produces are normally distributedwith a mean of 17.9 years and a standard deviation of 1.1 years.Find the probability that a randomly selected quartz time piece will have a replacement time less than14.6 years?P(X < 14.6 years) =.0013Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores roundedto 3 decimal places are accepted.If the company wants to provide a warranty so that only 3.3% of the quartz time pieces will be replacedbefore the warranty expires, what is the time length of the warranty?warranty =yearsEnter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Check Answer

Mean(µ) = 17.9Standard deviations (σ) = 1.1X ~ N (µ, σ )= N (17.9,1.1)

Answered: Find the probability that a randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Question 13: Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 17.9 years and a standard deviation of 1.1 years.

Find the probability that a randomly selected quartz time piece will have a replacement time less than 14.6 years?
P(X < 14.6 years) = Correct

Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

If the company wants to provide a warranty so that only 3.3% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty?
warranty = years

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed
with a mean of 17.9 years and a standard deviation of 1.1 years.
Find the probability that a randomly selected quartz time piece will have a replacement time less than
14.6 years?
P(X < 14.6 years) =.0013
Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.
If the company wants to provide a warranty so that only 3.3% of the quartz time pieces will be replaced
before the warranty expires, what is the time length of the warranty?
warranty =
years
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-
scores rounded to 3 decimal places are accepted.
Check Answer

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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