Question

A certain town is served by two hos-

pitals. In the larger hospital about 45
babies are born each day, and in the
smaller hospital about 15 babies are born
each day. As you know, about 50 percent
of all babies are boys. However, the exact
percentage varies from day to day. Some-
times it may be higher than 50 percent,
sometimes lower.
For a period of 1 year, each hospital
recorded the days on which more than 60
percent of the babies born were boys.
Which hospital do you think recorded
more such days?
The larger hospital
The smaller hospital
About the same (that is, within 5
percent of each other)

Answer 1

The larger hospital is more likely to have more days with more than 60% of babies being boys, as it has a higher average number of boys born each day.

Therefore, the correct answer is: option "The larger hospital".

Step-by-step explanation:

To determine which hospital recorded more days with more than 60 percent of babies born being boys, we need to compare the number of days for each hospital.

Let's analyze the larger hospital first:

In the larger hospital, there are approximately 45 babies born each day.

If 50 percent of all babies are boys, this means that on average, there would be 45 * 0.5 = 22.5 boys born each day at the larger hospital.

Now let's analyze the smaller hospital:

In the smaller hospital, there are approximately 15 babies born each day.

Applying the same reasoning as before, there would be 15 * 0.5 = 7.5 boys born each day at the smaller hospital.

Based on these calculations, we can conclude that the larger hospital is more likely to record more days with more than 60 percent of babies born being boys, as it has a higher average number of boys born each day.