Actuarial Outpost May 05 #9
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#1
10-15-2006, 11:39 AM
 hcchan1437 Member Join Date: Nov 2004 Location: H.K. Posts: 101
May 05 #9

I dont understand why the solution look for y/2 while the question asking for y.... actually....not too sure what it is doing....
and why it set y=x1+x2?....isnt it y is the mean of x1 and x2?...
ew...so confuse....
after reading the solution of #9, i dont understand number 10 too...uhh...
#2
10-15-2006, 01:11 PM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

Quote:
 Originally Posted by hcchan1437 I dont understand why the solution look for y/2 while the question asking for y.... actually....not too sure what it is doing.... and why it set y=x1+x2?....isnt it y is the mean of x1 and x2?... ew...so confuse.... after reading the solution of #9, i dont understand number 10 too...uhh...
A few posts below yours: http://www.actuarialoutpost.com/actu...ad.php?t=92838
What don't you understand about #10?
#3
10-15-2006, 01:25 PM
 hcchan1437 Member Join Date: Nov 2004 Location: H.K. Posts: 101

#4
10-15-2006, 02:00 PM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

Isn't that still #9? Define Y = (X_1 + X_2) / 2, you are asked in the problem to find Pr(Y > 10) i.e. P((X_1 + X_2)/2 > 10) i.e. P(X_1 + X_2 > 20) X_1 + X_2 is dist. Gamma(alpha = 2, theta = 6) so you just look at the cdf for gamma right? Or just integrate it out.
#5
10-16-2006, 10:04 AM
 hcchan1437 Member Join Date: Nov 2004 Location: H.K. Posts: 101

oh i see... the y in the solution is not the y in the exam ....thats really a challenging solution...

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