P(X < 12.2 years) = ? and warranty = ? years

Question

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 17.7 years and a standard deviation of 2.3 years.

Find the probability that a randomly selected quartz time piece will have a replacement time less than 12.2 years?

P(X < 12.2 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 3.3% 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.

Answer 1

STATISTICS

 

Kaitlyn K.

 asked • 11h

P(X < 12.2 years) = ? and warranty = ? years

Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 17.7 years and a standard deviation of 2.3 years.

Find the probability that a randomly selected quartz time piece will have a replacement time less than 12.2 years?

P(X < 12.2 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 3.3% 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.