It is said babies are born according to a uniform distribution. That means that it is equally likely for a baby to be born at any time during a 24...

It is said babies are born according to a uniform distribution. That means that it is equally likely for a baby to be born at any time during a 24 hour period. Assume that the day starts at 12:00 midnight and ends exactly 24 hours later at 12:00 midnight. Show your work.

a. What is the probability of a baby being born prior to 6:45am?

b. What is the probability that a baby is born between 6:00am and 4:00 pm?

c. What is the probability that a baby is born at exactly 12:00 noon?

d. What is the time of day which marks the point where 25% of the babies are born after this time?