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Q: Is it possible to have a constant that is also a binomial?

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yes a binomial is a polynomial

For the binomial, it is independent trials and a constant probability of success in each trial.For the Poisson, it is that the probability of an event occurring in an interval (time or space) being constant and independent.

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No, it is not.

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Both terms in the binomial have positive exponents of x and so it is not possible for there to be a constant term in its expansion. If the second term is a negative power then it is not possible to tell whether it should be (a/x^2) or 1/(ax^2) which will yield different answers.

It is a binomial, which is also a polynomial.

The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.

The binomial distribution has two parameter, denoted by n and p. n is the number of trials. p is the constant probability of "success" at each trial.

A binomial experiment is a experiment that consists of repeated trails, with two possible outcomes. An example of this would be a coin toss.Ê

Velocity is a vector quantity. That means it has direction and magnitude. Speed is a scalar quantity, it only has magnitude. It is possible to have constant speed and constant velocity but it is also possible to have constant speed but changing velocity if the object is changing direction.

It is not possible for a perfect square to have just 2 terms.

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