Binomial Theorem:The binomial theorem explains the power of the binomial. Binomial coefficient is the resulting coefficient of the expression. By using binomial theorem we can raise the power. For example, (x+y) is a binomial.With the help of this binomial theorem ,for example we can expand any power of x + y into a sum of terms forming a polynomial.
(x+y) n = nc0. Xn.y0 + nc1 .x (n-1) y1 + nc2 .x (n-2).y2 +……..+ nc (n-1) x1.y (n-1) + ncn. x0. yn
Where the corresponding binomial theorem coefficient example is in the form ‘nCk’.
nCk = [(n!) / [k! (n-k)!]]
We know that (x+y)0=1
(x+y)1=1x+1y
(x+y)2=x2+2xy+y2
Let there be n independent trials in an experiments and let the random variable X denote the number of successes in the trails . Let the probability of getting a positive possible in a single trail be p and that getting a failure be q so that p + q = 1. then
P(X = r) = nCr * Pr * q(n-r).
This is called Binomial distribution.Hope you like the above example of Binomial Theorem.Please leave your comments, if you have any doubts.
(x+y) n = nc0. Xn.y0 + nc1 .x (n-1) y1 + nc2 .x (n-2).y2 +……..+ nc (n-1) x1.y (n-1) + ncn. x0. yn
Where the corresponding binomial theorem coefficient example is in the form ‘nCk’.
nCk = [(n!) / [k! (n-k)!]]
We know that (x+y)0=1
(x+y)1=1x+1y
(x+y)2=x2+2xy+y2
Let there be n independent trials in an experiments and let the random variable X denote the number of successes in the trails . Let the probability of getting a positive possible in a single trail be p and that getting a failure be q so that p + q = 1. then
P(X = r) = nCr * Pr * q(n-r).
This is called Binomial distribution.Hope you like the above example of Binomial Theorem.Please leave your comments, if you have any doubts.
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