The Normal Distribution

AP Statistics· difficulty 4/5

Heights are normal with mu = 64, sigma = 3 inches. The 90th percentile corresponds to z ≈ 1.28.

x = ? area = 0.90

What height is at the 90th percentile?

  • A

    ≈ 60.16 in

  • B

    ≈ 64 in

  • C

    ≈ 67.84 in

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  • D

    ≈ 70 in

Explanation

x = mu + z*sigma = 64 + 1.28(3) = 64 + 3.84 = 67.84.

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