math binomials

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..

A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial . The probability distribution of the number of successes, so obtained is called the 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..

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? => x 2 + 16 x + 64 or x 2 - 16 x + 64 or x 2 - 16 x - 64 or x 2 - 18 x + 81..

Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let..

Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systematical mann..

We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..

Expand the binomial function: (4 x + y ) 4..

Expand the binomial function: (2 x + y ) 4..