Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at random.
What is the probability that exactly ten customers will ask for hot peppers?
A) 0.015
B) 0.15
C) 0.708
D) 0.00
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The probability of a customer ordering a chilidog with hot peppers is 0.3. The probability of a customer not ordering a chilidog with hot peppers is 0.7. The probability of exactly 10 customers ordering a chilidog with hot peppers is given by the binomial distribution:P(X = 10) = (18 choose 10) * (0.3)^10 * (0.7)^8 = 0.15

Elly's Hot Dog Emporium Is Famous for Its Chilidogs