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4 cards from this section. Quick, good the night before a test.
Find E(10). What is it?
The expectation of a constant equals the constant itself.
If E(X) = 4, find E(2X).
Use the linearity property.
What is E(0)?
Think about how constants behave.
If X and Y are independent, does E(XY) = E(X) + E(Y)?
Recall the multiplicative property.
Let X and Y be independent random variables with E(X) = 4 and Var(X) = 9. Compute E(X^2) using the properties learned.
Remember the formula for variance relates to expectation!
Prove the multiplicative property of expectation for independent random variables using definitions.
Write out the definitions and express independence clearly.
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