Parameters for a Binomial Distribution

AP Statistics· difficulty 3/5

A multiple-choice test has 25 questions, each with 4 options. A student guesses randomly.

Param Value n 25 p (guess) 0.25

What are mean and SD of correct answers?

  • A

    mean 6.25, SD ≈ 2.165

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  • B

    mean 12.5, SD 2.5

  • C

    mean 25, SD 4

  • D

    mean 6.25, SD 4.69

Explanation

p = 0.25. Mean = 25(0.25) = 6.25. SD = sqrt(25<em>0.25</em>0.75) = sqrt(4.6875) ≈ 2.165.

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