Question

Bring out the major properties of binomial distribution. Mention certain important uses of this distribution.

04 Aug 2023
Answer :
Word Count : 675

The binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identically distributed (i.i.d) trials, where each trial can result in one of two outcomes: success or failure. It has several important properties that make it a useful tool in probability theory and statistics. Here are the major properties of the binomial distribution:

  1. Fixed Number of Trials (n): The binomial distribution is defined for a fixed number of trials, denoted by "n." Each trial is independent of the others, and the outcome of one trial does not affect the outcomes of the other trials.

  2. Independent Trials: The trials are assumed to be independent, meaning that the outcome of one trial does not influence the outcome of another trial.

  3. Two Outcomes: Each trial has two possible outcomes: success or failure. These outcomes are mutually exclusive and exhaustive.

  4. Constant Probability (p): The probability of success (denoted by "p") remains constant across all ___ _________ ___ _____ ________ _______ _________ _____ __________.
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