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#1
07-27-2012, 11:23 AM
 Dansanon CAS SOA AAA Join Date: Jul 2011 Studying for P1 Exam Posts: 15

how does one find the 90th percentile of the standard normal distribution. when I look on the table I see that It corresponds to 1.28 but the book has 1.282 how did they come up with that?
#2
07-27-2012, 11:28 AM
 Colonel Smoothie Member CAS Join Date: Sep 2010 Studying for CAS 5 College: Jamba Juice University Favorite beer: AO Amber Ale Posts: 9,382

Quote:
 Originally Posted by Dansanon how does one find the 90th percentile of the standard normal distribution. when I look on the table I see that It corresponds to 1.28 but the book has 1.282 how did they come up with that?
It's close enough.
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#3
07-27-2012, 11:32 AM
 daaaave David Revelle Join Date: Feb 2006 Posts: 2,486

Some tables (although not the one given on the 1/P syllabus page) have inverse values for certain percentiles listed on the bottom. The solutions to the 1/P practice problems often use linear interpolation, which will also give you 1.282. But actual exam questions are written so that you can either round or use interpolation and not get the wrong answer choice, so 1.28 is, as was previously suggested, close enough.
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#4
07-27-2012, 11:45 AM
 Dansanon CAS SOA AAA Join Date: Jul 2011 Studying for P1 Exam Posts: 15

Thank you but besides interpolation is there a quick way to come up with it?
#5
07-27-2012, 11:46 AM
 Actuarialsuck Member Join Date: Sep 2007 Posts: 5,324

Quote:
 Originally Posted by Dansanon Thank you but besides interpolation is there a quick way to come up with it?
Of course! Integrate! ...oh you said quick.
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