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In: Statistics and Probability

Explain when the binomial distribution is appropriate. Hint: There are four necessary conditions.

Explain when the binomial distribution is appropriate. Hint: There are four necessary conditions.

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The definition wants the following definitions to be neccarily fulfilled :

  1. Fixed number of trials - process being investigated must have a clearly defined number of trials that do not vary. We cannot alter this number midway through our analysis. Each trial must be performed the same way as all of the others, although the outcomes may vary. The number of trials is indicated by an n in the formula.
  2. Independent trials - Each of the trials has to be independent. Each trial should have absolutely no effect on any of the others. The classical examples of rolling two dice or flipping several coins illustrate independent events. Since the events are independent we are able to use the multiplication rule to multiply the probabilities together.
  3. Two different classifications - Each of the trials is grouped into two classifications: successes and failures.
  4. The probability of success stays the same for all trials - The probabilities of successful trials must remain the same throughout the process

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