## Binomial probability distribution, Mathematics

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Binomial Probability Distribution

Binomial probability distribution is a set of probabilities for discrete events. Discrete events are those whose outcomes or results can be counted. Binomial probabilities are usually encountered in business situations for illustration, in quality control activities the binomial probabilities are frequently used especially when finding the probability of having a specific number of defective items in a given consignment.

- The binomial probability distribution is generally characterized by the fact that the binomial events have to fulfill the given properties

i. Each event has 2 possible outcomes only termed as success or failure

ii. The probability of each outcome is independent of the previous outcomes

iii. The sample size is usually fixed

iv. The probabilities of success and failure tend to approach 0.5 if the sample size raises (in the event while an unbiased coin is thrown a number of times)

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