ISI INTERVIEW PREP

[anurag]

actually this one is more clear , at are level ..thnku

[neha]

Has anybody done Q17 of ME I , 2011?

[anon_econ]

it's already been discussed here. nobody has come up with a solution yet.

[anurag]

multiply n divide each term by corresponding Xi^1/2 - Xj^1/2

[anon_econ]

anurag, i hv no idea what u r saying. can u plz explain? :D

[anurag]

ohh sry i mistakenly did 11th :/ dats y i was wondering why nobdy did it before :P ,

lemme try 17th :)

[Mr. Nobody]

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[anon_econ]

Yes. Thanks, Ram :)
What's the answer? zero?

[Mr. Nobody]

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[anon_econ]

Umm i didn't attempt this one bcoz i was not sure. But what i thot was this: say i'm 1 of the players. the expected value of the other player's number is 50. so i wud swap if my no. is less than 50. but then i know that the other guy wud also swap only when he's got less than 50. if he has less than 50 the expected value of his no is 25. so now i shud swap if i get less than 25. but then he wud be doing the same :) so i shud swap if i get a no less than 12.5..this will continue and i wud never swap :|

[anurag]

@neha, vasudha - guys as d quesn says f(x)= px+qx^2 ,  so in f(x) given in quesn similarly put f(y)=py+qy^2 n den solve..altho its a lengthy method but m getting integrals values for p & q

[Amit Goyal]

Thanks :-)

[Amit Goyal]

Well done Vasudha. Keep it up. :-)

[anon_econ]

Thanks, sir. And thanks Anurag. I hope they don't ask something like this in the interview :P

[neha]

thanks anurag:)

[deepak]

Vasudha, could you please explain how/why you reject 3 on the Type II error grounds? Thank you!

[anon_econ]

Hi Deepak. Type II error is the error of accepting a false hypothesis. H0 is false implies p is actually 2/3. Now if u take 0 to be the critical value u accept the null when X=1,2 or 3. Find the probability of that using the actual probability distribution of X (i.e, when p=2/3). If u take 3 to be the critical value u accept the null when X=0,1 or 2. Again find the probability of this. The 1st one will be higher than the 2nd one. So type II error is minimized when u take 3 as the critical value.

[deepak]

Ah thanks much, Vasudha :)

[neha]

What answer you guys are getting for Q2 (b) RE I ? I am getting (1-x)*(x)^(n-1). Please confirm

http://economicsentrance.weebly.com/uploads/1/1/0/5/1105777/jrf2011.pdf

[Amit Goyal]

Thats incorrect Neha. Solution is attached:-
probIIhi.png