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First i will explain the binomial expansion

Q: What is the relationship between the binomial expansion and binomial distribution?

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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.

a

If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.

The standard normal distribution is a normal distribution with mean 0 and variance 1.

A simple continuous distribution can take any value between two other values whereas a discrete distribution cannot.

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The skew binomial distribution arises when the probability of a particular event is not a half.

The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.

Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.

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.

A binomial is a polynomial with exactly 2 terms.

What is the symbol for a Probability of success in a binomial trial?

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.

What is the relationship between physical geography and population.

a

It is an inverse relationship

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