Question

Jojo*s Hot Dogs is famous for its chilidogs. Jojo's latest sales indicate that 30% of the

customers order their chilidogs with hot peppers. Suppose 18 customers are selected
at random.
What is the probability that exactly IO customers will ask for hot peppers?
Express your solution as the decimal equivalent of a probability rounded to four
decimal places.

Answer 1

To find the probability that exactly 10 out of 18 customers will order chilidogs with hot peppers, we use the binomial probability formula with n = 18, k = 10, and p = 0.30.

Step-by-step explanation:

The question involves calculating the probability of a binomial event. We use 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, k is the number of successes, and p is the probability of success on any given trial.

In this case, the number of trials (n) is 18, the number of successes (k) that we want to find the probability for is 10, and the probability of success on any given trial (p), which is the probability that a customer orders a chilidog with hot peppers, is 0.30.

Applying the formula, we use the combination of 18 choose 10 and multiply it by 0.30^10 for the successes and (1-0.30)^(18-10) for the failures. The calculation gives us the probability that exactly 10 out of 18 customers will ask for hot peppers.