1, hypergeometric distribution problem, know the number n of the population, and divide the elements in the population into two categories, such as genuine products, defective products or boys, girls and so on.

2. The problem solved by binomial distribution is to repeat experiments independently. "Repetition" means that the probability of each event is equal. The condition in the topic is to carry out n independent repeated experiments, and the probability of success in each experiment is p, and binomial distribution studies the probability of success in these n experiments. When the number of tests is 1, the binomial distribution obeys the 0- 1 distribution.

Extended data:

Solution of expectation and variance of binomial distribution;

According to the definition of binomial distribution, the random variable X is the number of times that event A occurs in n Bernoulli experiments, and the probability that event A occurs in each experiment is p. Therefore, binomial distribution can be decomposed into the sum of n independent (0- 1) random variables with p as the parameter.

Let the random variable X(k)(k= 1, 2,3 ... n) obey the distribution of (0- 1), then x = x (1)+x (2)+x (3)...x (n).

Since X(k) is independent of each other, it is expected that:

Difference:

Baidu Encyclopedia-Binomial Distribution

Baidu Encyclopedia-Hypergeometric Distribution