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13 Cards in this Set
- Front
- Back
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Experiment |
An action which can be repeated and produce several outcomes |
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Trial |
Single performance of an experiment |
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Outcome |
Possible result of an experiment |
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Event |
Combination of outcomes (e.g. dice rolling and even number) |
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Random variable |
Variable whose value is subject to uncertainty |
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PDF vs PMF |
Pdf is continuous Pmf is discrete |
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Join probability |
Probability that a collection of events from different distributions occur together |
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Marginal probability |
Chance of observing a random variable in a particular state when two or more events are observed simultaneously |
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P( a and b) if not independent |
P(a) * p(b|a) |
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Combinations formula |
N! / (N-K)!K! |
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Cdf have these 3 properties |
As x tends to infinite f(x) approaches 1 And f(x) approaches zero as x tends to - infinite It's a non decreasing function It's right continuous |
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Linearity of expectation |
Expectation of Sum equals sum of expectation For example if expected value of a dice roll is 3.5, the expected sum of two rolls would be 7, and over n trials it would be 7n |
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Linearity of expectation |
E[R1 + R2] = E[R1] + E[R2] example if expected value of a dice roll is 3.5, then for two rolls it's 7 |
