Question

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .42. Find the probability that in a sample of 6 customers, at least 3 of the 6 will order a nonalcoholic beverage

Answer 1

0.497

Explanation:

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

n = 6 ; x = 3 ; p = 0.42

P(x = 3) +... P(x = 6)

P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)

P(x = 3) = 20 * 0.074088 * 0.195112

P(x = 3) = 0.28910915712

Then find p(x = 4).. + p(x = 6)

Using a calculator :

P(X >= x) = 0.497