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4 cards from this section. Quick, good the night before a test.
Define a discrete random variable and give an example.
Think about counts or finite values.
What is a continuous random variable?
Consider things that can vary infinitely.
What is the definition of a random variable?
Remember, it relates to outcomes of uncertainty.
Two random variables are considered independent if:
Think about the impact of one variable on another.
Suppose you have two discrete random variables, A and B, with the following probabilities: P(A=1)=0.4, P(A=2)=0.6, P(B=1)=0.5, P(B=2)=0.5. Verify if A and B are independent if P(A=1, B=1)=0.2.
Use the independence condition to verify.
In a continuous scenario, if the joint probability density function for X and Y is f(x, y) = e^(-x) * e^(-y) for x,y>0, analyze the independence of X and Y.
Express the joint PDF in terms of marginal PDFs.
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