On average, 9 babies are born per 24-hour day at the local hospital.
a. What is the probability that at least one baby will be born today on the 8 am to 4 pm shift?
b. What is the probability that at least one baby will be born in the next hour?
c. What is the probability that exactly 4 babies will be born on the 8 am to 4 pm shift?
d. What is the probability that exactly 4 babies will be born on each of the next three 8-hour shifts?
e. What is the probability that you would have to wait for four 8-hour shifts until you got the first one with exactly 4 babies born?
f. What is the probability that exactly 12 babies will be born total in the next 24 hours?