Answer :
Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. when the number of trials is sufficiently large we use normal distribution instead of binomial distribution which leads the condition to use normal approximation to the binomial rather than binomial probability distributions
many experiments consist of repeated independent trials .each trial has two possible complementary outcomes such as the trial may be a head or tail, success and failure right or wrong, etc. know if each probability of outcome remains the same throughout the trial then such trials are called "binomial trials" and experiments are called "a binomial experiment". its probability distribution is called binomial probability distribution denoted by 'P'.
A continuous random variable having a bell-shaped curve is called a normal random variable with mean and variance and distribution thus is called Binomial probability distribution depending on the number of trials n of a binomial experiment and the probability of success p on each trial.
know when a number of trials are sufficiently large we use normal distribution instead of binomial distribution this is what the normal approximation does.
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