Poisson Distribution as a Limiting Form of the Binomial Distribution
We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..
We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method)
Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method). We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the..
Binomial Theorem
1. A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. 2. A statement involving natural number n is generally denoted by P(n). 3. A binomial is an algebraic expression o..
Binomial Nomenclature
Binomial Nomenclature - It is the system of giving a scientific name to an animal or a plant, an outstanding system contributed by Carolus Linnaeus. According to this system, any given animal or plant is given a scientific name consisting of two words. The first word refers to name of the..
Binomial Distribution
Binomial Distribution - A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial. Let X be the number of successes in a Bernoulli trial, then X can take 0 or 1 and P(X =1) = p = "probability of a success" P(X = 0) = 1 - p = q = "probability of fai..
Binomial Nomenclature
It is the system of giving a scientific name to an animal or a plant, an outstanding system contributed by Carolus Linnaeus. According to this system, any given animal or plant is given a scientific name consisting of two words. The first word refers to name of the genus while the second word..
Factorization
If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial.If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial..
Factorization
Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common factors. Identities studied in the previous..
Factorization
Writing a polynomials as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Methods of Factorisation: (i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomials (v) Sum or d..
Examples of Binomial Nomenclature
fig. 7.4 - Examples of Binomial Nomenclatu..
fig. 7.4 - Examples of Binomial Nomenclatu..See what our Users say :
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