Mean and Standard Deviation of Random Variables

AP Statistics· difficulty 3/5

X has E(X) = 5 and E(X^2) = 30.

Quantity Value E(X) 5 E(X^2) 30 Var(X) ?

What is Var(X)?

  • A

    35

  • B

    30

  • C

    25

  • D

    5

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Explanation

Var(X) = E(X^2) - [E(X)]^2 = 30 - 25 = 5.

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