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1. Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 11.5 years and a

1. Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 11.5 years and a standard deviation of 1.4 years. Find the probability that a randomly selected quartz time piece will have a replacement time less than 8 years? P(X < 8 years) = Enter your answer accurate to 4 decimal places. If the company wants to provide a warranty so that only 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.

2. Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 11.5 years and a standard deviation of 1.4 years. Find the probability that a randomly selected quartz time piece will have a replacement time less than 8 years? P(X < 8 years) = Enter your answer accurate to 4 decimal places. If the company wants to provide a warranty so that only 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.

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