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2 cards from this section. Quick, good the night before a test.
Is the statement 'Independent variables affect each other's probability' true or false?
Think about how independence relates to probability.
Define a discrete random variable in one sentence.
Consider what kind of values can be counted.
What is the condition for independence between discrete random variables?
Recall the equation for independence.
True or False: If P(X=1, Y=2)=0.4 and P(X=1)=0.5, P(Y=2)=0.3, X and Y are independent.
Use the independence equation for checking.
Given a joint probability table for random variables X and Y, assess their independence: X/Y 1 2; 1 0.2 0.5; 2 0.3 0.1.
Carefully label all calculations for clarity.
Develop a scenario involving two random variables where independence simplifies decision-making. Explain the impact.
Think about practical applications in engineering or statistics.
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