question archive A company knows that replacement times for the quartz time pieces it produces are Normally distributed with a mean of 12 years and a standard deviation of 2

A company knows that replacement times for the quartz time pieces it produces are Normally distributed with a mean of 12 years and a standard deviation of 2

Subject:StatisticsPrice: Bought3

A company knows that replacement times for the quartz time pieces it produces are Normally distributed with a mean of 12 years and a standard deviation of 2.3 years.

 

Find the proportion of a randomly selected quartz time pieces that will have a replacement time less than 6.7 years?

P(X < 6.7 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 3.8% 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.

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