A brand name has 60 recognition rate assume the owner wants

A brand name has 60% recognition rate. assume the owner wants to verify that rate by beginning with a small group of 7 randomly selected consumers. what is the probability that at least 6 selected consumers recognize the brand name

Solution

Number of customers who recognize the brand name, follows a Binomial distribution with n=7 and p=0.60

P(X>=6) = P(X=6) + P(X=7) = 7C6*(0.60)⁶*(1-0.60) + 7C7*(1-0.60)⁷ = 0.1306 + 0.0016 = 0.1323