Enter the value for p :
Enter the value for n :
Enter the value for i :
Probability (Number of Successes = i) :-
Probability (Number of Successes <= i) :-
If n independent trials, each of which results in a “success” with probability p and in a “failure” with probability 1-p, are to be performed and if X represents the number of successes that occur in the n trials, then X is said to be a binomial random variable with parameters (n, p). The probability mass function of a binomial random variable with parameters n and p is given by:
P{X = i} = nCi pi(1-p)(n-i)
Therefore, the binomial distribution function can be obtained by just summing the mass function from k = 0 to k = i:
Enter the value for p :
Enter the value for n :
Enter the value for i :
Probability (Number of Successes = i) :-
Probability (Number of Successes <= i) :-