Mean and Standard Deviation of Random Variables

AP Statistics· difficulty 2/5

The probability distribution of X is shown.

X P(X) 0 0.2 1 0.5 2 0.3

What is E(X)?

  • A

    1.1

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  • B

    0.9

  • C

    1.0

  • D

    1.5

Explanation

E(X) = 0(0.2) + 1(0.5) + 2(0.3) = 0 + 0.5 + 0.6 = 1.1.

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