The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 166 and a variance of 4. The material is considered defective if the breaking strength is less than 160 pounds. What is the probability that a single, randomly selected piece of material will be defective? (Give the answer to two decimal places.

Question

Martin · Answer

variance = 4, so standard deviation = 2 (because squareroot of 4 is 2)

160 - 166 = -6 = -3 standard deviation.

You take out a normal distribution table and you find out that a standard deviation of -3 or less happens only 0.13% of the time.

Answer : 0.13%

Akron Oh · Answer

Thanks a million!!!