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Discrete Mathematics

Expected Value

Concept Quizzes

Expected Value - Definition
Expected Value - Properties
Linearity of Expectation
Expected Value - Independent Variables
Expected Value - Problem Solving

Challenge Quizzes

Expected Value: Level 2 Challenges
Expected Value: Level 3 Challenges
Expected Value: Level 4 Challenges
Expected Value: Level 5 Challenges

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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