Question 894924: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 145 and a variance of 4.The material is considered defective if the breaking strength is less than 141 pounds. What is the probability that a single, randomly selected piece of material will be defective? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 145 and a variance of 4.The material is considered defective if the breaking strength is less than 141 pounds. What is the probability that a single, randomly selected piece of material will be defective?
-----
z(141) = (141-145)/4 = -4/4 = -1
------
P(x < 141) = P(z < -1) = normalcdf(-100,-1) = 0.1487
============
Cheers,
Stan H.
|
|
|
