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 chili dogs 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

Question

Quizplus · Accepted Answer

The probability that exactly ten customers will ask for hot peppers can be calculated using the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials (18 customers), k is the number of successes (10 customers asking for hot peppers), and p is the probability of success on a single trial (0.30). Plugging in the values: P(X = 10) = (18 choose 10) * (0.30)^10 * (0.70)^8, which results in approximately 0.015.

Elly's Hot Dog Emporium Is Famous for Its Chilidogs