Suppose Half of All Newborns Are Girls and Half Are

Multiple Choice

Suppose half of all newborns are girls and half are boys. Hospital A, a large city hospital, records an average of 50 births a day. Hospital B, a small, rural hospital, records an average of 10 births per day. On a particular day, which hospital is less likely to record 80% or more female births?

A) Hospital A (with 50 births a day) , because the more births you see, the closer the proportions will be to 0.5.
B) Hospital B (with 10 births a day) , because with fewer births there will be less variability.
C) The two hospitals are equally likely to record such an event, because the probability of a boy does not depend on the number of births.
D) We are not given enough information to determine which hospital is less likely to record such an event.