Final answer:
To answer the probability questions about births in a maternity ward you would use a probability distribution, most likely a Poisson distribution. Specific parameters such as the mean rate of births are required to calculate the probabilities, which are not provided in the question.
Step-by-step explanation:
The scenarios described in the question are best analyzed using a probability distribution, likely Poisson distribution if the context given was about the average number of births per hour and given a specific time frame, such as one hour. However, the question and provided information are incomplete and do not give enough context to determine which distribution to use or the necessary parameters such as the average rate of births.
To calculate the probability of at most three babies being delivered in an hour, you would typically sum the probabilities of 0, 1, 2, and 3 babies being born, given the average rate (λ). Similarly, to find the probability of more than five babies being born in an hour, you would need to calculate 1 minus the sum of the probabilities of 0 through 5 babies being born. Without the necessary parameters, such as the mean number of births per hour (λ), an exact answer cannot be provided.