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 refer..
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 Theorem
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conje..
Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conje..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 failure". Consider a random experimen..
Examples of Binomial Nomenclature
fig. 7.4 - Examples of Binomial Nomenclatu..
fig. 7.4 - Examples of Binomial Nomenclatu..Applications of Binomial Theorem
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximat..
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximat..Binomial Theorem Summary
Summary - 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. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a statement..
Summary - 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. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a statement..Which of the the following expressions is the square of a binomial?
Which of the the following expressions is the square of a binomial? => a 2 - 24 a - 144 or a 2 + 18 a + 81 or a 2 + 18 a - 81 or a 2 - 18 a - 81..
Which of the following expressions is not the square of binomial?
Which of the following expressions is not the square of binomial? => x 2 + 16 x + 64 or x 2 - 16 x + 64 or x 2 - 16 x - 64 or x 2 - 18 x + 81..
Recurrence Relation for the Binomial Distribution
We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..
We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..See what our Users say :
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