The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).
It is used in situations where the outcome of each trial is binary, such as "yes/no" or "success/failure".
Formula
Application
The binomial distribution is widely used in biostatistics to model scenarios where there are a fixed number of trials, and each trial has the same probability of success.
Applications include:
Clinical trials to determine the number of patients who respond positively to a treatment.
Quality control to assess the number of defective items in a batch.
Survey results to measure the proportion of respondents who agree with a statement.