Question

In: Statistics and Probability

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed...

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 15.4 years and a standard deviation of 1.8 years.

Find the probability that a randomly selected quartz time piece will have a replacement time less than 9.8 years?
P(X < 9.8 years) = __________

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 2.5% 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.

Solutions

Expert Solution

By using the above table we got the values :


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