You are looking for people between 16 to 23 years to answer a survey.
Assume houses on First Street, based on copious amounts of empty
beer bottles in front yards and your past experience, has a chance of
yielding 16 to 23 year olds to answer your survey of 20% per house.
Houses on Second Street, based upon baby strollers parked all over
the place, has a chance of yielding 16 to 23 year olds to answer your
survey of 10% per house. It takes 6 minutes to come over to home,
ring a bell, ask if there are any 16 to 23 year olds, and ask the survey
question; for simplicity, assume its the same amount of time if
no one answered the door, or if there is no 16 to 23 year olds. In one
hour, you can survey ten houses. You have an equally efficient partner.
You can split up, and survey 10 houses on First Street and 10
houses on Second Street. What is the chance that you get more than 5
survey replies from 16 to 23 year olds in one hour?
How do I go about answering this?