Answer:
0.1728
Step-by-step explanation:
We know that the random variable, X, arises from a binomial experiment, besides n = 14 and p = 0.13, so, q = 1 - p = 1 - 0.13 = 0.87. For a particular value x, we can compute the probability P(X = x) as [tex](nCx)p^{x}q^{n-x}[/tex], therefore, [tex]P(X = 3) = (14C3)(0.13^{3})(0.87^{(14-3)}) = (14C3)(0.13^{3})(0.87^{11}) = 0.1728[/tex]. You can copy and paste the next instruction in excel to find the answer =COMBIN(14, 3)*0.13^3*0.87^11
