Calculate the probability of the following binomial distribu

Calculate the probability of the following binomial distribution using the formula. Round answers to 3-decimal places. n = 12, x = 5, p = 0.25

Solution

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial

P( X = 5 ) = ( 12 5 ) * ( 0.25^5) * ( 1 - 0.25 )^7
= 0.1032