Question

At a Noodles & Company restaurant the probability that a customer will order a non alcoholic beverage is .48. find the probability that in a sample of 12 customers none of the 12 customers order a non-alcoholic beverage.

How do I find this?​

Answer 1

Probability is 0.00039, or about a 0.039% chance of occurrence

Explanation:

Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%