Combining Random Variables

AP Statistics· difficulty 4/5

X has mean 4, Y has mean 7. Let T = 2X + 3Y.

X mean = 4 Y mean = 7 T = 2X + 3Y

What is E(T)?

  • A

    11

  • B

    21

  • C

    32

  • D

    29

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Explanation

E(T) = 2(4) + 3(7) = 8 + 21 = 29.

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