Question

What is the key difference between the binomial and hypergeometric distribution?

1) The binomial distribution is used for independent trials with replacement, while the hypergeometric distribution is used for dependent trials without replacement.
2) The binomial distribution is used for dependent trials without replacement, while the hypergeometric distribution is used for independent trials with replacement.
3) The binomial distribution is used for independent trials without replacement, while the hypergeometric distribution is used for dependent trials with replacement.
4) The binomial distribution is used for dependent trials with replacement, while the hypergeometric distribution is used for independent trials without replacement.

Answer 1

The binomial distribution is used for independent trials with replacement, while the hypergeometric distribution is used for dependent trials without replacement.

Step-by-step explanation:

The key difference between the binomial and hypergeometric distribution is that the binomial distribution is used for independent trials with replacement, while the hypergeometric distribution is used for dependent trials without replacement.

In a binomial distribution, each trial is independent and the probability of success remains the same in all trials. In contrast, the hypergeometric distribution deals with dependent trials, where the probability of success changes after each pick without replacement.