Bring out the major properties of binomial distribution. Mention certain important uses of this distribution.
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:
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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.
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Independent Trials: The trials are assumed to be independent, meaning that the outcome of one trial does not influence the outcome of another trial.
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Two Outcomes: Each trial has two possible outcomes: success or failure. These outcomes are mutually exclusive and exhaustive.
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Constant Probability (p): The probability of success (denoted by "p") remains constant across all ___ _________ ___ _____ ________ _______ _________ _____ __________.
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