Question 1067215: For a specific type of machine part being produced, the diameter is normally distributed, with a mean of 15.000 cm and a standard deviation of 0.030 cm. Machine parts with a diameter more than 2 standard deviations away from the mean are rejected.
If 15,000 machine parts are manufactured, how many of these will be rejected?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For a specific type of machine part being produced, the diameter is normally distributed, with a mean of 15.000 cm and a standard deviation of 0.030 cm. Machine parts with a diameter more than 2 standard deviations away from the mean are rejected.
If 15,000 machine parts are manufactured, how many of these will be rejected?
----
Find the area under the normal curve that is greater
than 2 standard deviations from the mean
normalcdf(2,100) = 0.0228
Double that because there is area to the right and to the left.
2*0.0228 = 0.0456
---
Ans: 0.0456*15000 = 683 when rounded up
-----------
Cheers,
Stan H.
-----------
|
|
|
