Question

Elly's hot dog emporium is famous for its chilidogs
. Elly's latest sales indicate that 30% of the cust
omers
ordering her chilidogs order it with hot peppers. S
uppose 18 customers are selected at random.
20. What is the probability that exactly ten custom
ers will ask for hot peppers?

Answer 1

You can use the binomial distribution here, You are given the probability of success "p=0.3" which is the probability of customers ordering hot peppers.
Now, you you have two outcomes: order hot peppers, or not order hot peppers
And the probability of a person choosing hot peppers is independent of another person (can be assumed since you choose the customers at random). So, you have a binomial distribution. The number of "trials" is the number of customers, 18

So, if \(X\) is the number of people ordering hot peppers, then \(X\sim Binomial (18, 0.3)\). And since you want the probability for ten customers, then \(X=10\) in the formula

Answer 2

so formula is 18C10 (.3)^10(1-.3)^18-10 and answer is .014895474

Answer 3

yes \(\checkmark\)