Question

The binomial formula has two parts. The first part of the binomial formula calculates the number of combinations of X successes. The second part of the binomial formula calculates the probability associated with the combination of success and failures.   If N=6 and X=4, what is the number of combinations of X successes?

15

6

48

6!

Answer 1

In a binomial distribution,

P(X=x) is the probability of getting x success which is given by

P(X=x) = C(n,x)*p^x*q^n-x

Where C(n,x) is the number of combinations for x successes

x is the no of successes

n is the number of trails

p is the probability of success

q is the probability of failure also given by 1-p

So here when n = 6 and x=4

C(n,x) = C(6,4) = (6*5*4*3)/(4*3*2*1) = 15

That will be Option-(A)

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