The Geometric Distribution

AP Statistics· difficulty 3/5

X is Geometric with p = 0.2.

1 2 3 4 5 6 Geometric, p=0.2

What is P(X = 3) (first success on 3rd trial)?

  • A

    0.512

  • B

    0.200

  • C

    0.040

  • D

    0.128

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Explanation

P(X=3) = (0.8)^2(0.2) = 0.64 * 0.2 = 0.128.

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