Parameters for a Binomial Distribution

AP Statistics· difficulty 3/5

X is Binomial(n=5, p=0.4).

0 1 2 3 4 5 Binomial(5, 0.4)

What is P(X = 2)?

  • A

    0.4000

  • B

    0.2304

  • C

    0.1600

  • D

    0.3456

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Explanation

P(X=2) = C(5,2)(0.4)^2(0.6)^3 = 10(0.16)(0.216) = 0.3456.

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