Question

At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.

Answer 1

Answer:

           $\large\boxed{\large\boxed{0.00039}}$

Explanation:

Notice that there are only two possibilities: ordering a nonalcoholic beverage or not ordering a nonalcoholic beverage; hence, the probability that in a sample of 12 customers, none of the 12 will order a nonalcholic beverage is a binomial experiment.

Now, you know that he probability that a customer will order a nonalcoholic beverage is 0.48.

Hence, the probability that a customer does not order a nonalcholic beverage is 1 - 0.48 = 0.52.

The probability that none of the 12 customers order a nonalcoholic beverage is determined by the product of 0.52 twelve times. Naming P(X=12) such probability it is:

           $P(X=12)=(0.52)^{12}\approx 0.00039$