SOLUTION: The playing life of a Euclid MP3 player is normally distributed with a mean if 30,000 hours and a standard deviation of 500 hours. Matts MP3 player lasted for 31,500 hours. His MP3

Algebra ->  Probability-and-statistics -> SOLUTION: The playing life of a Euclid MP3 player is normally distributed with a mean if 30,000 hours and a standard deviation of 500 hours. Matts MP3 player lasted for 31,500 hours. His MP3      Log On


   

Question 970788: The playing life of a Euclid MP3 player is normally distributed with a mean if 30,000 hours and a standard deviation of 500 hours. Matts MP3 player lasted for 31,500 hours. His MP3 Player lasted longer than what percent of other Euclid MP3 players?
1)68%. 2)95%. 3)99.7%. 4)more than 99.8%
I'm actually not sure with one to pick honestly... I need help thank you so much
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The playing life of a Euclid MP3 player is normally distributed with a mean if 30,000 hours and a standard deviation of 500 hours. Matts MP3 player lasted for 31,500 hours. His MP3 Player lasted longer than what percent of other Euclid MP3 players?
1)68%. 2)95%. 3)99.7%. 4)more than 99.8%
Solution:
z score =%2831500-30000%29%2F500+=+3
P(Z < 3) = 0.9987 [4 decimal places]
Therefore, the answer is 4)more than 99.8%