Basic Probability and Statistical Distributions in Six Sigma

Candidates seeking Six Sigma Green Belt certification; quality professionals, engineers, production managers, and frontline supervisors; process owners and champions charged with the responsibility of improving quality and processes at the organizational or departmental level

Please contact us for information about prerequisites.

Expected Duration
102 minutes

To make accurate inferences about populations from sample data, you need to be able to determine the probability that an event or a combination of events will occur. You also need to be familiar with the characteristics of various statistical distributions, and their suitability for different types of data. In this course, you’ll be introduced to the concept of probability. You’ll learn how to calculate probability involving independent events, mutually exclusive events, multiplication rules, permutations, and combinations. You’ll also look at different types of distributions, such as normal, Poisson, binomial, Chi-square, Student’s t, and F-distributions. This course is aligned to the ASQ Body of Knowledge and is designed to assist Green Belt candidates toward achieving their certifications and becoming productive members of their Six Sigma project teams.


Probability and Types of Events

  • match the terms associated with probability to their definitions
  • use the formulas for calculating the probability of simple and mutually exclusive events
  • calculate the probability of given events
  • calculate the probability of given events

Addition and Multiplication Rules

  • calculate probability using the addition rule
  • calculate probability using the multiplication rule
  • use addition and multiplication rules to calculate the probability of given events

Permutations and Combinations

  • calculate a permutation
  • calculate a combination
  • use formulas to calculate permutations and combinations

Statistical Distributions

  • label examples of variables as continuous or discrete
  • identify characteristics of normal distribution
  • calculate probabilities based on normal distribution
  • use formulas to calculate probability

Binomial and Poisson Distributions

  • recognize examples of results that you could summarize using a binomial distribution
  • recognize examples of results that you could summarize using a Poisson distribution
  • distinguish between uses of binomial and Poisson distributions

Chi-Square, Student’s t, and F-Distributions

  • recognize characteristics of chi-square distributions
  • identify uses for Student’s t-distributions
  • identify characteristics of F-distributions
  • distinguish between Chi-square, Student’s t, and F-distributions





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