SOLUTION: Company XYZ knows that replacement times for the portable MP3 players it produces are normally distributed with a mean of 4 years and a standard deviation of 0.6 years.
Find the
Algebra.Com
Question 1135693: Company XYZ knows that replacement times for the portable MP3 players it produces are normally distributed with a mean of 4 years and a standard deviation of 0.6 years.
Find the probability that a randomly selected portable MP3 player will have a replacement time less than 2.3 years? P(X<2.3 years) = ____
Answer accurately to 4 decimals. Answers obtained using exact z-scores or z-scores rounded to 3 decimals places are accepted.
If the company wants to provide a warranty so that only 3% of the MP3 players will be replaced before the warranty expires, what is the time length of the warranty? Warranty = ___ years
Answer accurately to 1 decimal. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
for x<2.3 years, z<=-1.7/0.6=-2.833
This probability is 0.0023
z-score for 0.03 is -1.881
-1.881=(x-4)/0.6
x=2.871 years
RELATED QUESTIONS
A company knows that replacement times for the DVD players it produces are Normally... (answered by Boreal)
Company XYZ know that replacement times for the quartz time pieces it produces are... (answered by ikleyn)
Company XYZ know that replacement times for the quartz time pieces it produces are... (answered by Boreal)
Replacement times for CD players are normally distributed with a mean of 7.1 years and a... (answered by stanbon)
Am I doing the right thing? Please help me with this one.
Replacement times for Nissan (answered by stanbon)
Suppose that the replacement times for washing machines are normally distributed with a... (answered by ewatrrr)
The playing life of a Euclid MP3 player is normally distributed with a mean if 30,000... (answered by reviewermath)
A company produces steel rods. The lengths of the steel rods are normally distributed... (answered by stanbon)
Replacement times for new Ford Taurus GL automobiles are normally distributed with a mean (answered by stanbon)