Answer:
[tex]\large\boxed{\large\boxed{0.00039}}[/tex]
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:
[tex]P(X=12)=(0.52)^{12}\approx 0.00039[/tex]
