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For an experiment to be classified as a binomial distrbution four critiria have to be met:

  1. There must be a fixed number of trials which is denoted by n.
  2. Each trial only has two possible outcomes. One is labeled success and the other is failure.
  3. the probably of success is p. The probably of failure is 1-p
  4. Finally, the trials must be independent of one other (the outcome of one trial does not affect the outcomes of any other trial.)

An example of a binomial experiement is flipping a coin.

  • You can set a fixed number of trials. In this case, flipping a coin 3 times.
  • You label head as success and tails as failure.
  • The probability of heads is p=0.5; the probability of tails is 1-p = 1-0.5 = 0.5.
  • Getting heads on the first flip, doesn't change the probability of flipping heads again on the second. Thus the trials are independent.
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Q: What is binomial distribution?
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