Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 5.4 years and a standard deviation of 1 years.

Find the probability that a randomly selected DVD player will have a replacement time less than 2.6 years?*P*(*X* < 2.6 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 3.2% of the DVD players 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.