DSE 2008 Doubts

[Ayushya Kaul]

I've widely searched the forums but I couldn't find if these questions were discussed anywhere:
PART I

Question 16) Could someone prove how only g is linear and not f?

Question 17) I couldn't properly solve this partial derivative. Could anyone show the steps?

Question 19) Logic behind the answer?

Question 2) Shouldn't the answer be A) i.e (0.01)(0.99)^9?

Question 5) What is the quickest of finding the function for 'y'?

Thanks in advance, guys and gals :)

http://economicsentrance.weebly.com/uploads/1/1/0/5/1105777/28_june_2008_option_a.pdf

PS- Sorry couldn't post the questions, pdf format was not unlock-able.

[Xiang]

2)
p=0.01 and n=10

use: 10C1 (0.01^1)(0.99)^9

19)take n=5 or 6 and use trial and error. ( atleast thats what i did)

This will change the sign of the determinant (additive inverse) so -lAl

I have issues in problem 5 too. How to actually go about it?

[Do bats eat cats?]

5. Given that the probability distribution of X is symmetric around 0,

 P(X^2=y) = 2P(X=sqrt y)
or, P(Y=y) = 2P(X=sqrt y)
So,    g(y) = 2f(sqrt y)