Question

A brand name has a 40% recognition rate. If the owner of the brand wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 4 of the 10 consumers recognize the brand name. Also find the probability that the number who recognizes the brand name is not 4.

I really need the correct formula for this problem.

Answer 1

P(X=4)
p = .6; n=10) = 10C4 *.4^4 * .6^6
= 0.2508

P(x = not 4) = 1- 0.2508 = 0.7492