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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.

  • algebra -

    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%

  • algebra -

    Thanks a million!!!

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