Confusing question a little bit

Question

A certain company’s IT department has found that 15% of all visitors to the company website arrive there in error.(They are actually looking for another website). A random sample of 8 visitors to the website is chosen. Find the probability that more than 2 of them arrive in error.

Answer 1

n = sample size = 8

x = number arriving in error

p = percentage arriving in error (0.15)

1-p = percentage not arriving in error (0.85)

We need to determine

P(x > 2) = 1 - P(x <= 2) = 1 - [P(x=0) + P(x=1) + P(x=2)]

We can use binomial formula to compute the individual probabilities for x=0, x=1 and x=2 and n and p as given above:

x n-x

C p (1-p)

n x

Where C = n!/(x!(n-x)!)

n x