Mean and Standard Deviation of Random Variables

AP Statistics· difficulty 4/5

For X with P(0)=0.2, P(1)=0.5, P(2)=0.3, mu = 1.1.

X P(X) 0 0.2 1 0.5 2 0.3

What is Var(X)?

  • A

    0.70

  • B

    1.10

  • C

    0.49

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  • D

    0.30

Explanation

Var(X) = (0-1.1)^2(0.2) + (1-1.1)^2(0.5) + (2-1.1)^2(0.3) = 0.242 + 0.005 + 0.243 = 0.49.

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