Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 5 visitors to the website, exactly 3 actually are looking for the website.

2.14344%

Step-by-step explanation:

There are two possible outcomes here, the visitor looking for the websites (p=0.95) and the visitor looking for other websites (q=5% = 0.05). The question asking for the probability of exactly 3 visitors actually looking for the website (X=3) out of 5 visitors (n=5). There is no marking to differentiate the visitors, so the order of the visitors is not important.

The calculation will be:

P (X=x) = nCx * (p) ^x * (q) ^n-x

P (X=3) = 5C3 * (0.95) ^3 * (0.05) ^2

P (X=3) = 2.14344%