The main differences of Binomial and
Hypergeometric distribution is:
- In binomial distribution the
probability of success is same for every trial. Whereas in
hypergeometric distribution the probability of success changes
after every trial as replacement is not made after every
trial.
- There are only two parameters in
Binomial distribution: the number of trials (n) and the probability
of success (p). In Hypergeometric distribution, there are three
parameters: the population size (N), number of objects in the
population of required feature (k) and the sample size (n).
- In binomial distribution the trials
are independent. Whereas in hypergeometric distribution the trials
are not independent.
- Binomial distribution is better be
used in large population, so that the outcome of a trial has no
effect on the subsequent trial. On the other hand, hypergeometric
distribution should be used for small population so that the
outcome of a trial has impact on the success probability of tbe
next trial.