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Probability

Expected Value

Expected value is the long-run weighted average of a random variable.

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Meaning

What Is Expected Value?

Expected value is the long-run weighted average of a random variable.

Expected value is the long-run weighted average of a random variable.

Examples

Examples of Expected Value

1For a fair die, E[X]=3.5.
Understand

Formula and Key Points

Formula / rule
E[X]=Σxp(x)
  • Know the definition and standard notation for Expected Value.
  • Be able to recognise or compute expected value in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science. Used to analyze randomized algorithms, average cost and probabilistic decision making.

FAQ

Expected Value: Frequently Asked Questions

What is Expected Value?

Expected value is the long-run weighted average of a random variable.

Why is Expected Value useful in computer science?

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science. Used to analyze randomized algorithms, average cost and probabilistic decision making.