The binomial distribution is a discrete probability distribution which describes the number of successes in a sequence of draws from a finite population, with replacement. The hypergeometric distribution is similar except that it deals with draws without replacement. For sufficiently large populations the Normal distribution is a good approximation for both.
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The key difference between the Poisson and Binomial distributions lies in their underlying assumptions and applications. The Binomial distribution models the number of successes in a fixed number of independent trials, each with the same probability of success, while the Poisson distribution models the number of events occurring in a fixed interval of time or space when these events happen independently and at a constant average rate. Additionally, the Binomial distribution is characterized by two parameters (number of trials and probability of success), whereas the Poisson distribution is defined by a single parameter (the average rate of occurrence).
A binomial is a polynomial with exactly 2 terms.
What is the symbol for a Probability of success in a binomial trial?
The only difference is that a binomial has two terms and a polynomial has three or more terms.
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First i will explain the binomial expansion
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
In a symmetric binomial distribution, the probabilities of success and failure are equal, resulting in a symmetric shape of the distribution. In a skewed binomial distribution, the probabilities of success and failure are not equal, leading to an asymmetric shape where the distribution is stretched towards one side.
Poisson and Binomial both the distribution are used for defining discrete events.You can tell that Poisson distribution is a subset of Binomial distribution. Binomial is the most preliminary distribution to encounter probability and statistical problems. On the other hand when any event occurs with a fixed time interval and having a fixed average rate then it is Poisson distribution.
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in copputer science
the comparision between new and old scince is .......
A binomial is a polynomial with exactly 2 terms.
What is the symbol for a Probability of success in a binomial trial?
comparision of p.b and p.b
There just is no way these can be compared.