Suppose the number of babies born each hour at a hospital follows a poisson distribution with a mean of 4. 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, the hospital experienced eight consecutive hours with more than five births each hour. 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 0.00000457.
B. The belief is not supported as the probability of observing this many births is 0.215.
C. The belief is supported as the probability of observing this many births would be 0.215.
D. The belief is not supported as the probability of observing this many births is 0.00000457.