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What is product of a binomial and a special multinomial?

The product of a binomial, which has the form ( (a + b) ), and a special multinomial, such as ( (x + y + z)^n ), is obtained by distributing the binomial across the multinomial. This results in each term of the multinomial being multiplied by each term of the binomial, leading to a new expression that combines all possible products. For example, multiplying ( (a + b) ) by ( (x + y + z)^n ) involves distributing ( a ) and ( b ) across each term of the multinomial, effectively creating a new polynomial that includes terms of the form ( a \cdot (x + y + z)^n ) and ( b \cdot (x + y + z)^n ). The result is a polynomial that retains the combinatorial structure of the multinomial.


What is relation between binomial multinomial hypergeometric and poisson probability?

Lulla diference


Is rolling a die 10 times to see what you get binomial?

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


What is Multinomial?

multiterm mathematical expression: a mathematical expression consisting of the sum of a number of terms, each of which contains a constant and variables raised to a positive integral power


What are the three frequency distributions and when should each be used?

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.

Related Questions

What is the definition of multinomial?

multinomial


One use of the chi-square goodness of fit test is to determine if specified multinomial probabilities in the null hypothesis is correct True False?

True.


What are the kinds of specialization?

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)


What is product of a binomial and a special multinomial?

The product of a binomial, which has the form ( (a + b) ), and a special multinomial, such as ( (x + y + z)^n ), is obtained by distributing the binomial across the multinomial. This results in each term of the multinomial being multiplied by each term of the binomial, leading to a new expression that combines all possible products. For example, multiplying ( (a + b) ) by ( (x + y + z)^n ) involves distributing ( a ) and ( b ) across each term of the multinomial, effectively creating a new polynomial that includes terms of the form ( a \cdot (x + y + z)^n ) and ( b \cdot (x + y + z)^n ). The result is a polynomial that retains the combinatorial structure of the multinomial.


What are the kind of special products?

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)


What is relation between binomial multinomial hypergeometric and poisson probability?

Lulla diference


Is rolling a die 10 times to see what you get binomial?

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


What is Multinomial?

multiterm mathematical expression: a mathematical expression consisting of the sum of a number of terms, each of which contains a constant and variables raised to a positive integral power


What are the three frequency distributions and when should each be used?

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.


Rolling a single die 34 times keeping track of the numbers rolled is this a bionomial distribution?

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.


What are the 5 kinds of polynomials?

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.


What is the difference between a factor and a covariate for multinomial logistic reg?

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.