The Normal Distribution

AP Statistics· difficulty 3/5

Test scores are normal with mu = 75, sigma = 10. Find P(X < 60).

x = 60 mu = 75

What approximate probability?

  • A

    ≈ 0.5000

  • B

    ≈ 0.9332

  • C

    ≈ 0.0668

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  • D

    ≈ 0.1587

Explanation

z = (60-75)/10 = -1.5. P(Z < -1.5) ≈ 0.0668.

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