A Question
There is a town served by two hospitals. The smaller hospital has 15 babies born each day. The bigger hospital has 45 babies born each day.
The proportion of baby boys is around 50% of all the born babies in the town. In each of the hospital, there might be days when the percentage of baby boys is less or more than 50%.
At the end of the year, which hospital will see greater number of days when the percentage of boys are 60% or more?
A. The big hospital
B. The small hospital
C. Neither. It's about the same (deviations are 5% or less).
Please answer this question and give ur reasoning.
6 Comments:
without any thought, i think the ans should be big hospital, because if there's any reason why this qn is posted at all, it has to be because its a trick qn
6:23 PM
(b) Small hospital.
Imagine if Edmund Chong wakes up every morning, and gets out of his bed on the right side or wrong side with equal probability.
Do you think it is more likely that after any period of 10 consecutive days, he gets out of bed on the right side 6 times,
OR
after any period of 1 million days, he gets out bad on the right side 600 000 times?
If he can achieve the latter with a true 0.5 probability, he can go buy 4D and tear the ticket up and still win.
Over long period of times, it becomes far, far, more unlikely for experimental events to vary far from the statistical expectation. Which explains why Chelsea suddenly can't win.
The question that remains is quantitative, i.e. is the deviation significant (over 5%)? Empirical testing at http://www.glys.com/hosp.cgi indicates that it IS.
Small hospital usually has >100 days where =>60% are boys, while big hospital is generally half that. Therefore, (b).
7:45 PM
WAH
8:42 PM
huh, so its not a trick qn? so lousym pui
9:46 PM
I plagiarised the qn but not the answer, so I dunno.
10:49 PM
this reminds me of blardy maths n fourier series. dun ask me how to link, i just finished watching the webcast lecture only. now to DE. ROXX
12:12 AM
Post a Comment
<< Home