Question

5.

Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random. Use the binomial distribution formula or table. What is the probability that exactly 10 customers will ask for hot peppers? What is the probability that between two and six people inclusive want hot peppers? What is the probability that all 15 will want hot peppers?

Answer 1

Given the probability that the customers order their chilidogs with hot peppers is p=0.30

Let X be the number of customers who will ask for hot peppers.

Therefore

a) The probability that exactly 10 customers will ask for hot peppers is

. ### by using binomial distribution table

b) The probability that between two and six people inclusive want hot peppers given by

. By using binomial distribution table

c) The probability that all 15 will want hot peppers is

. By using binomial distribution table.

Therefore the required probability is