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Discrete Mathematics

Expected Value

Excel in math and science

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It's hard to learn from lectures and videos

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Concept Quizzes

Definition
Properties
Linearity of Expectation
Independent Variables
Expected Values

Challenge Quizzes

Level 2
Level 3
Level 4
Level 5

Expected Value - Properties

If \(E[3X+Y] = 11\) and \(E[X] = 2,\) what is \( E[Y]?\)

5 11 7 9

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If \(E[4X ] = 16 ,\) what is \( E[X] ?\)

9 5 4 8

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If \(E[3X+9Y] = 6\) and \(E[3X+Y] = 5,\) what is \( E[X+Y]?\)

\[{ \frac{15}{32}} \] \[{ \frac{7}{4}} \] \[{ \frac{22}{15}} \] \[{ \frac{7}{3}} \]

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If \( E[X] = 3 ,\) what is \(E[3X + 1 ]?\)

11 21 10 20

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If \(E[X] = 4, E[Y] = 4 ,\) what is \(E[4X+3Y]?\)

57 29 28 56

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