Question

what is the KEY principles differences between:

binomial probabilities

vs

hypergeometric probabilities

give examples

Answer #1

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.

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