The Normal Distribution

AP Statistics· difficulty 3/5

Daily commute times are approximately normal with μ = 30 min and σ = 5 min.

Commute Times N(30, 5) 25 30

Approximately what percent of commutes are LESS than 25 minutes?

  • A

    32%

  • B

    16%

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  • C

    2.5%

  • D

    84%

Explanation

25 = μ − σ. About 68% lie within 1 SD; 32% lie outside, with 16% in each tail.

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