Distribution Theory
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Probability Distributions: Binomial, Poisson, Normal, and Chi-Square, Slides of Business Management and Analysis
An overview of various probability distributions, including the binomial, poisson, normal, and chi-square distributions. Topics covered include frequency distributions as probability distributions, empirical and theoretical probability distributions, properties of distributions, and formulations of specific distributions. The normal distribution is uniquely defined by its mean and variance and is illustrated with examples.
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2012/2013
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Distribution Theory
Distribution Theory
- Frequency distributions can be seen as probability distribution.
- Probability distributions that are based on observed data are called empirical probability distributions.
- Probability distributions can be based on theoretical considerations.
Illustration
Properties
Numerical
The Poisson Distribution
Formulation
Formulation
Background
Normal Distribution Function
Standard Normal Distribution
Numerical
Numerical
Example: Suppose a random variable X follows a Normal distribution with mean 50 and standard deviation 10. We can calculate the following: