Combining Random Variables

AP Statistics· difficulty 4/5

X and Y are independent. SD(X) = 6, SD(Y) = 8.

What is SD(X - Y)?

  • A

    100

  • B

    14

  • C

    10

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  • D

    2

Explanation

Var(X-Y) = Var(X) + Var(Y) = 36 + 64 = 100. SD = 10.

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