# Lec. 08 – Discrete (and Continuous) Probability Distributions.

Post on 18-Jan-2016

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GLY 6932: Geostatistics

Lec. 08 Discrete (and Continuous) Probability Distributions

Independence

Discrete Uniform Distribution

What are some examples of this?Binomial Distribution

If interested in obtaining the probability of r successes out of n trials over a range of r, when the probability is known see our first example of the course!Poisson DistributionA Poisson experiment is a statistical experiment that has the following properties:The experiment results in outcomes that can be classified as successes or failures.The average number of successes () that occurs in a specified region is known.Probability that a success will occur is proportional to the size of the region.Probability that a success will occur in an extremely small region is virtually zero.

Poisson Distribution ExampleFirst, code up the Poisson distribution for a mean of your choosing, and display the histogram.

Write a MATLAB code to answer the following questions about floods:

Negative Binomial DistributionBinomial = Distribution of the number of successes in a fixed number of trials

Negative Binomial = Distribution of the minimum number of trials required to produce a fixed number of successes (e.g. number of wells drilled to find 3 exploitable reservoirs)

Geometric distribution simplest form defines prob. distrib. of trials needed to obtain the 1st success: Pr(X=x)=(1-p)x-1p

Prob. of number of trials required to obtain exactly r successes:

Continuous Random Variables = p.d.f.s

Poisson Distribution (discrete) Exponential Distribution (continuous)

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