Question

Which of the following is a condition for the binomial distribution?

A. The probability of success p is the same for all possible observations.
B. Each observation may have only two possible outcomes: success or failure.
C. There are a fixed number of independent observations, n.
D. All of these choices are correct.

Answer 1

We know that for a binomial distribution, we must have fixed number of observations. So, option C is correct.

Each observation must be independent of all other observations. Number of outcomes must be exactly two, i.e. either success or failure, just like toss of a coin. So, option B is correct.

Probability of success must be same for all observations, i.e. if there is 0.7 probability of success for first observation, then this must be same for all remaining observations. So, option A is also correct

Thus, we can say that all the options are correct.

Option D is correct