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4 cards from this section. Quick, good the night before a test.
What is a PDF?
Think of how probabilities are represented for continuous outcomes.
Is the probability of a continuous variable taking a specific value greater than zero?
Consider how probabilities are defined for intervals.
What is a Probability Density Function?
Remember the definitions of different types of functions.
True or False: The probability of a continuous random variable taking a specific value is greater than zero.
Review how probabilities are defined.
Given a PDF f(x) = 3x² for 0 ≤ x ≤ 1, verify that it is a valid PDF and find E[X].
Use integration techniques to confirm area and moments.
If the variance is given by Var(X) = ∫ (x - E[X])² * f(x) dx, compute the Variance for f(x) = 1/5 for 0 ≤ x ≤ 5.
Remember to use integration for both components of variance calculation.
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