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5 cards from this section. Quick, good the night before a test.
Find the expectation of the number of heads in three tosses of a fair coin.
Use the probabilities of getting heads for 0, 1, 2, and 3 heads.
If X represents the outcome of rolling a fair six-sided die, calculate E(X).
Sum the outcomes weighted by their probabilities.
What is the expected value of a discrete random variable?
Think about how it gives a central tendency of the outcomes.
True or False: The expectation of a constant is equal to the constant itself.
Consider what happens when you roll a die with the same number every time.
Consider a random variable Y that can take values 1, 2, or 3 with probabilities 0.2, 0.5, and 0.3 respectively. Calculate E(Y).
Use the weighted average formula for discrete random variables.
A uniform distribution ranges from -1 to 1. Determine the expected value of this distribution.
Recall how the midpoint formula gives you the average.
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