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Combining Random Variables

AP Statistics· difficulty 4/5

For independent X ~ N(10, 3) and Y ~ N(15, 4), X + Y ~

  • A

    N(25, 7)

  • B

    N(25, 25)

  • C

    N(25, 5)

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  • D

    N(5, 7)

Explanation

Means add; variances add: σ² = 9 + 16 = 25 → σ = 5.

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