A-level Mathematics/MEI/S1/The Binomial Distribution

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Conditions for a situation to be normally distributed

If a situation is to be binomially distributed it must satisfy the following conditions.

1. The event must have only two possible outcomes.The outcomes are normally termed as 'success' ( denoted by p ) and failure ( denoted by q )

2. The two outcomes must be independent.

Converting Binomial distribution into a Normal Distribution[edit]

If an event is to be repeated n number of times with constant (independent) probabilities of both the possible outcomes occurring, by calculating the mean ( n * p ) of the distribution and the variance ( n * p * q ) of the distribution, the binomial distribution can be converted into an approximate normal distribution.