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Q: What is Multinomial?

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It is not. There are only two possible outcomes for each toss of a coin whereas the number of possible outcomes when selecting a marble from a bag will depend on the numbers of distinct marbles in each bag. The coin toss generates a binomial distribution the marbles experiment is multinomial.

There are many frequency distributions: Uniform, Binomial, Multinomial, Poisson, Gaussian, Chi-square, Student's t, Fisher's F, Beta, Gamma, Lognormal, Logistic to name some off the top of my head. And I am sure I've missed many more. You need to specify which ones you are interested in. Forgot the Exponential.

The distribution depends on what the variable is. If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial. If the key outcome is the number of primes, composite or neither, the distribution is trinomial. If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure. If the key outcome is odd or even the distribution is binomial with equal probabilities for the two outcomes. Thus, depending on the outcome of interest the distribution may or may not be binomial and, even when it is binomial, it can have different parameters and therefore different shapes.

In mathematics, special products are of the form:(a+b)(a-b) = a2 - b2 (Product of sum and difference of two terms) which can be used to quickly solve multiplicationsuch as:301 * 299 = (300 +1)(300-1) = 3002 - 12 = 90000 - 1 = 89999types1. Square of a binomial(a+b)^2 = a^2 + 2ab + b^2carry the signs as you solve2. Square of a Trinomial(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bccarry the sings as you solve3. Cube of a Binomial(a+b)^3 = a^3 + 3(a^2)b + 3a(b^2) + b^34. Product of sum and difference(a+b)(a-b) = a^2 - b^25. Product of a binomial and a special multinomial(a+b)(a^2 - ab + b^2) = a^3-b^3(a-b)(a^2 + ab + b^2) = a^3-b^3

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No. It is multinomial because you have more than two possible outcomes each time.

True.

No. If you keep track of all the numbers that are rolled then there are six possible outcomes, a binomial has only two. It is a multinomial distribution.

The special products include: difference of the two same terms square of a binomial cube of a binomial square of a multinomial (a+b) (a^2-ab+b^2) (a-b) (a^2+ab+b^2)

The special products include: difference of the two same terms square of a binomial cube of a binomial square of a multinomial (a+b) (a^2-ab+b^2) (a-b) (a^2+ab+b^2)

Monomial consisting of one term ( 3x ) , Binomial consisting of two terms ( x + y ), Trinomial consisting of three terms ( 3x+4x+5xy ), and Multinomial consisting of three or more terms.

It is just a factor or categorical variable. On the other hand for instance, If your age is continuous (rather than age brackets) then it would be a covariate. If your age is given as age-brackets, then it wont be covariate.

(oh-mee-yil)binomial monomial multinomial no/slow/meal quadrinomial trinomialnear rhyme - when spoken - consider(oh-nee-yil)antimonial baronial ceremonial colonial intercolonial matrimonial patrimonial testimonialor(ohn-mee-yil) bonemeal (pay for someone's) own meal

Any sum of one or more terms is called a Polynomial. Polynomials have different names. for example x is a monomial* x+1 is a binomial x-1+y is a trinomial x-1+y+2x is a multinomial (could have been called quadnomial but ... lol nah) So what is a Quadratic? It is just a polynomial where the highest exponent (power) is 2. Basically, a polynomial of the 2nd degree algebraically. For example, x²+y-3 is a quadratic trinomial x² is a quadratic monomial *by the way if you are wondering what makes a term like x or x² a sum or a polynomial when there is nothing else you see that is being added or taken away then see this ... x = x + 1 - 1 x² = x² + 1 - 1

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