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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 $E[Y]?$

11 7 9 5

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by Brilliant Staff

If $E[4X ] = 16 ,$ what is $E[X] ?$

8 9 5 4

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by Brilliant Staff

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

{ \frac{7}{4}}

{ \frac{15}{32}}

{ \frac{22}{15}}

{ \frac{7}{3}}

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by Brilliant Staff

If $E[X] = 3 ,$ what is $E[3X + 1 ]?$

21 20 11 10

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by Brilliant Staff

If $E[X] = 4, E[Y] = 4 ,$ what is $E[4X+3Y]?$

29 57 56 28

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by Brilliant Staff

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