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Sloka
Sloka asked in Science & MathematicsMathematics · 6 years ago

Statistics and probability question?

The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.

What is the probability that the strength of a sample is less than 38 lb/in2? Round your answer to 4 decimal places.

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  • paramvenu
    Lv 7
    6 years ago

    z = (X - Mean)/SD

    z = (38 - 35)/2 = + 2

    Required probability = P(X < 38)

    = P(z < 1.5)

    = 0.9332

  • stanschim
    Lv 7
    6 years ago

    Z = (38 - 35) / 2 = 3/2 = 1.5

    P(Z) < 1.5 = 0.9332

    Source(s): normalcdf function on TI-84 calculator
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