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 ${\displaystyle p}$ ) and failure ( denoted by ${\displaystyle q}$ )

2. The two outcomes must be independent.

Converting Binomial distribution into a Normal Distribution

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