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Important Probability Distributions

Important Probability Distributions

Important Probability Distributions. Handy Counting Formulas. When various outcomes of an experiment are equally likely computing probabilities reduces to a counting problem. Say we have two experiments, each with a set of outcomes: Experiment 1 has m outcomes Experiment 2 has n outcomes.

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633 views • 63 slides
Introduction to probability theory and statistics

Introduction to probability theory and statistics

Introduction to probability theory and statistics. HY 335 Presented by: George Fortetsanakis. Roadmap. Elements of probability theory Probability distributions Statistical estimation Reading plots. Terminology. Event: every possible outcome of an experiment.

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586 views • 36 slides
Probability distribution functions

Probability distribution functions

Probability distribution functions. Normal distribution Lognormal distribution Mean, median and mode Tails Extreme value distributions. Normal (Gaussian) distribution. Normal density function What does the figure tell us about the values of the CDF?. More on the normal distribution.

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541 views • 14 slides
x=[17.88 , 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80];

x=[17.88 , 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80];

Example: lifetimes for ball bearings in millions of resolutions : 17.88, 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80, 68.64, 68.88, 84.12, 93.12, 98.64, 105.12, 105.84, 127.92, 128.04, 173.40. Evaluate the empirical cdf Choose class of cdf to model the data

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114 views • 1 slides
x=[17.88 , 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80];

x=[17.88 , 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80];

Example: lifetimes for ball bearings in millions of resolutions : 17.88, 28.92, 33.00, 41.52, 42.12, 45.60, 48.48, 51.84, 51.96, 54.12, 55.56, 67.80, 68.64, 68.88, 84.12, 93.12, 98.64, 105.12, 105.84, 127.92, 128.04, 173.40. Evaluate the empirical cdf Choose class of cdf to model the data

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121 views • 1 slides

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