Usage of binomial distribution in real life
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Binomial distribution is :
(a+b)^n = a^n + nC1 a^(n-1) b + .....+ nCr a^r b^{n-r} + ...+ b^n.
Here nCr = C(n, r) = Binomial coefficients.
The binomial distribution can be used to find approximate answers for powers like 1.01^10.
Binomial expansion is used to expand many functions in algebra to find derivatives and limits using calculus. These derivatives and limits are useful in finding lengths of arcs, volumes and surface areas of solids or surfaces.
Binomial coefficients nCr are useful in making Pascal's triangle. Many young students make it for math projects.
If we want to find the number of ways in which some identical coins are distributed among some boys and girls, we use binomial coefficients.
We use binomial expansion and coefficients in knowing the coefficient of the term x^r in a polynomial (fractional) expression.
(a+b)^n = a^n + nC1 a^(n-1) b + .....+ nCr a^r b^{n-r} + ...+ b^n.
Here nCr = C(n, r) = Binomial coefficients.
The binomial distribution can be used to find approximate answers for powers like 1.01^10.
Binomial expansion is used to expand many functions in algebra to find derivatives and limits using calculus. These derivatives and limits are useful in finding lengths of arcs, volumes and surface areas of solids or surfaces.
Binomial coefficients nCr are useful in making Pascal's triangle. Many young students make it for math projects.
If we want to find the number of ways in which some identical coins are distributed among some boys and girls, we use binomial coefficients.
We use binomial expansion and coefficients in knowing the coefficient of the term x^r in a polynomial (fractional) expression.
kvnmurty:
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