Question

Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using Excel. Round answer to 4 decimal places.

Answer 1

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 $(nCx)p^{x}q^{n-x}$, therefore, $P(X = 3) = (14C3)(0.13^{3})(0.87^{(14-3)}) = (14C3)(0.13^{3})(0.87^{11}) = 0.1728$. You can copy and paste the next instruction in excel to find the answer =COMBIN(14, 3)*0.13^3*0.87^11