SOLUTION: The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a
Algebra ->
Probability-and-statistics
-> SOLUTION: The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a
Log On
Question 1043193: The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? Use the portion of the standard normal table below to help answer the question Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months?
-------
z(2.25) = (2.25-3.5)/(0.75) = -4/3
z(3.25) = (3.25-3.5)/(0.75) = -1/3
--------------------------
P(2.25< x <3.25) = P(-4/3< z < -1/3) = normalcdf(-4/3,-1/3) = 0.2782
---------------
Cheers,
Stan H.
-----------