SOLUTION: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking

Question 824072: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective?
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 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective?
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z(165.8) = (165.8-175)/16 = -0.5750
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P(x < 165.8) = P(z < -0.575 = normalcdf(-100,-0.575) = 0.2826
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Cheers,
Stan H.
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