Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n= 7, x= 3, p = 0.75

Answer 1

As per binomial distribution,
P(X=r) = nCr * p^r * (1-p)^(n-r)

P(x = 3) = 7C3 * 0.75^3 *(1-0.75)^4
= 0.0577