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The 2 Parameter Binomial Discrete Distribution 4 Formulas

Fred Schenkelberg
3 min readFeb 19, 2018

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The 2 Parameter Binomial Discrete Distribution 4 Formulas

This is part of a short series on the common life data distributions.

The Binomial distribution is discrete. This short article focuses on 4 formulas of the Binomial Distribution.

It has the essential formulas that you may find useful when answering specific questions. Knowing a distribution’s set of parameters does provide, along with the right formulas, a quick means to answer a wide range of reliability related questions.

Assumptions

Given a count variable and if the following conditions apply then the binomial distribution is rather useful.

  1. There a fixed number, n, of observations
  2. The observations are independent
  3. The outcome of each observation is either success or failure
  4. The probability of success, p, is the same for each observation

The binomial distribution describes the count variable which is the result of n Bernoulli trials. The occurrence of successes are not ordered thus may occur at any point in the n trials. Thus the use of combinations and not permutations. This assumes replacement or essentially…

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Fred Schenkelberg
Fred Schenkelberg

Written by Fred Schenkelberg

Reliability Engineering and Management Consultant focused on improving product reliability and increasing equipment availability.

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