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binomial distribution
This term is a technical expression used primarily in statistics and probability theory. It describes a specific scenario where there are only two possible outcomes for each trial, such as success or failure, yes or no, or heads or tails. It is distinct from a normal distribution, which describes continuous data, whereas the binomial distribution deals with discrete counts of events.
In academic and professional contexts, the term is used to model binary outcomes across a fixed number of independent trials. It requires a constant probability of success for every trial, making it a foundational concept in quality control, clinical trials, and survey sampling.
Ý nghĩa
A discrete probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters, specifically the number of successes in a sequence of n independent experiments.
The probability of getting exactly three heads in ten coin flips is calculated using the binomial distribution.
Ví dụ
The professor explained how the binomial distribution applies to coin flipping experiments.
The professor explained how the binomial distribution applies to coin flipping experiments.
We can use a binomial distribution to model the number of defective parts in a batch.
I wonder if this data follows a binomial distribution or if it is skewed.
Does the binomial distribution require the trials to be independent?
Does the binomial distribution require the trials to be independent?
The probability of success is a key parameter in the binomial distribution.
The probability of success is a key parameter in the binomial distribution.
He calculated the variance using the formula for a binomial distribution.
He calculated the variance using the formula for a binomial distribution.
Our quality control team relies on the binomial distribution to predict failure rates.
The results of the survey are best represented by a binomial distribution.