Consider a binomial experiment with n 9 and 055 What is Px

Consider a binomial experiment with n = 9 and = 0.55. What is P(x = 7)?

Solution

Consider a binomial experiment with n = 9 and = 0.55. What is P(x = 7)?

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P(X=7) = (₉C₇) 0.55⁷ (1-0.55)^9-7   

P(X = 7) = 0.11098

P(x = 7) =0.1110 ( 4 decimals)