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2 cards from this section. Quick, good the night before a test.
What is the expectation of rolling a fair 4-sided die?
Use the formula for discrete expectations.
Find the expectation of the number of heads in two tosses of a fair coin.
List down the possible outcomes.
What does the Expectation of a random variable represent?
Consider what we mean by the 'long-run average'.
True or False: The expectation of a constant is always equal to the constant itself.
Review the properties of expectation.
Let X be the number of defective items in a sample of size n. Given a fixed probability p, formulate E(X) in a binomial context.
Refer back to the binomial expectations formula!
In a stochastic system, develop a PDE using E[u(x, t)] and show how it simplifies to a deterministic equation.
Think about how taking averages can smooth out variability.
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