SOLUTION: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 165 and a variance of 4. The material is considered defective if the breaking s

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Question 881096: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 165 and a variance of 4. The material is considered defective if the breaking strength is less than 160.2 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29
z = (160.2-165)/4
P(x < 160.02) = P(z < -4.8/4) = 11.51%