Binomial Distribution

• 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.
  

Example