Final answer:
True. If babies are born at approximately a constant rate over time, then the number of babies born on a given day follows a Poisson distribution.
Step-by-step explanation:
True. If babies are born at approximately a constant rate over time, then the number of babies born on a given day follows a Poisson distribution. The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate and independence of events. In this case, the births are assumed to happen independently, and the rate of births determines the average.
For example, if the average number of babies born per day is 10, we can use the Poisson distribution to calculate the probability of different numbers of babies being born on a given day (e.g., P(X = 5), P(X = 8)). The Poisson distribution is commonly used in many fields to model events that occur randomly over time.