Springfield has two hospitals.In the larger hospital, about 45 babies are born each day, and in the smaller hospital, about 15 babies are born each day.Approximately 50 percent of all babies born in the two hospitals are girls, but the exact percentage varies from day to day.Over a period of one year, which hospital will record more days during which over 60 percent of the babies born are girls?
A) the larger hospital
B) the smaller hospital
C) Both hospitals will record about the same number of births.
D) neither hospital, since the proportion will always be 50 percent

Question

Quizplus · Accepted Answer

Assuming 365 days in a year, the larger hospital will have approximately 16,425 births (45*365) and the smaller hospital will have approximately 5,475 births (15*365). If 50 percent of all babies are girls, then on average, each hospital will have approximately the same number of girls and boys born each day. However, to have over 60 percent of babies born be girls, there would need to be at least 30 girls born each day in the larger hospital and at least 10 girls born each day in the smaller hospital. It is more likely that the smaller hospital will have more days where over 60 percent of babies born are girls, since it would take fewer girls to reach that threshold.

Springfield Has Two Hospitals