Brilliant

Practice

Algebra
Geometry
Number Theory
Calculus
Discrete Mathematics
Basic Mathematics
Logic
Classical Mechanics
Electricity and Magnetism
Computer Science
Quantitative Finance
Chemistry

Finish your day a little bit smarter

Master concepts in math, science, and computer science

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations

Join a vibrant community

Indulge a lifelong love of learning in a global community
of students, professionals, researchers, and hobbyists

Log in with Facebook Log in with Google

or

Log in with email

Join using Facebook Join using Google

or

Join using email

New user? Sign up

Existing user? Log in

Finish your day a little bit smarter

Master concepts in math, science, and computer science

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations

Join a vibrant community

Indulge a lifelong love of learning in a global community
of students, professionals, researchers, and hobbyists

Your answer seems reasonable. Find out if you're right!

Sign up to access problem solutions.

That seems reasonable. Find out if you're right!

Log in with Facebook Log in with Google

or

Log in with email

Join using Facebook Join using Google

or

Join using email

New user? Sign up

Existing user? Log in

Discrete Mathematics

Expected Value

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

Show explanation

View wiki

by Brilliant Staff

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

9 5 4 8

Show explanation

View wiki

by Brilliant Staff

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

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

Show explanation

View wiki

by Brilliant Staff

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

11 21 10 20

Show explanation

View wiki

by Brilliant Staff

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

57 29 28 56

Show explanation

View wiki

by Brilliant Staff

×

Problem Loading...

Note Loading...

Set Loading...