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3 cards from this section. Quick, good the night before a test.
What is the formula for Conditional PMF?
Think about how the joint and marginal probabilities relate.
If P(A = 1, B = 1) = 0.4 and P(B = 1) = 0.5, what is P(A = 1 | B = 1)?
Use the Conditional PMF formula.
What does Conditional PMF help us understand?
Focus on the dependency aspect.
True or False: P(X = x | Y = y) is determined solely from P(Y = y).
Consider what you need to calculate a conditional probability.
Two variables have a joint distribution where P(X = 3, Y = 5) = 0.25, and P(Y = 5) = 0.5. Calculate P(X = 3 | Y = 5) and interpret this in a practical scenario.
Use the Conditional PMF formula!
In medical testing, if P(Positive Test | Disease) = 0.9 and the general population probability P(Disease) = 0.01, discuss the implications if P(Positive Test) is found to be significantly different.
Think about sensitivity and specificity in testing.
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