Compute Probabilities of a Poisson Random Variable

Compute Probabilities of a Poisson Random Variable
-Suppose the number of babies born during an 8-hour shift at a hospital s maternity wing follows a Poisson distribution with a mean of 7 an hour. Some people believe that the presence of a full moon increases the number of births that take place. Suppose during the presence of a full moon, County Hospital experienced eight consecutive hours with more than eight births. Based on this fact, comment on the belief that the full moon increases the number of births.

A) The belief is supported as the probability of observing this many births would be 0.0000291.
B) The belief is not supported as the probability of observing this many births is 0.271.
C) The belief is supported as the probability of observing this many births would be 0.271.
D) The belief is not supported as the probability of observing this many births is 0.0000291.