Expected cutoff for dse ??

[Sinistral]

Ok. Earlier I didnt know the complete question. After Ameya posted the question (and I hope this time it is complete), It is clear that Postman will deliver the letter to female, if he gets a female letter.

So MF is out of the support. Since,  as soon as he gets a letter from female (the other being from male) he will go with FM.

So now the support is FF,MM,FM.

[Ameya]

It is given in the question that he has already delivered the 'first' letter and it is from a female. what is the probability that the second is also from a female?
For the second letter we only have choices of either M or F independent of the first letter.
I still go with 1/2

[Sinistral]

Support: FF, FM, MM

Pr(2F|1F)= P(1F|2F)P(2F) / [P(1F|2F)P(2F) + P(1F|2M)P(2M)]

             = 1* (1/3)/ [1* (1/3) + (1/2)(2/3)]
             
             =1/2

I trust Baye more. (I hope I used this theorem in a right way).
and I rest my case. No more revisions.

[shanks]

@sinistral now i am confused regarding the interpretation of the question. everyone has rejected the case MF but this is what is stuck in my mind.

If the postman receives the first letter from a female he will immediately go and deliver it. but in case the first letter is from a man he will not deliver it and wait for the next letter to come; which if is from a female would be delivered first.

therefore the no. of ways postman can have the letters is MF, FM, FF.

the editor will definitely have it in FM, FF way. But it is the postman who is to deliver and from that prespective the probability is 1/3.

[shanks]

@B I got confused the same way. But then I could not understand why would would the 3 rd reject the offer of (0,5,4) when he is getting a higher payoff other than 0 or 3. so I went with (5,0,4) only.
The exam question seemed easy but were bloody confusing.

[AK]

@shanks... I can see how you are looking at the letter's question.. but i think there is not order in letters.. the order is in delivery.. (it is just my perception :) )

[B]

@ Shanks: Even I thought so. But it was mentioned explicitly that if any voter gets the same payoff as any other proposal in this proposal, he votes it out. Thats why I chose (4,0,5). The first voter knows that since 2nd's proposal will be the one that gives the 3rd voter more than 3 and him 0 i.e. (0,5,4), keeping a payoff=4 will make the third voter reject his proposal and he'll be left with 0 or 3. Thats why it would be better for him to choose (4,0,5). Thats how it should be according to me. As I said, I maybe wrong.

[mats]

what was the answer of the Lorenz curves question?

[gurmeet]

they were crossing

[AK]

Yes.. they were crossing..

[B]

Any Idea about that question about lexicographic preferences? And what did R^2 imply in that ecotrix question in the first section?

[gurmeet]

1st was Px and Py >0
and 2nd was Px=Py>0
R^2 was coefficient of determination

[mats]

what was the answer of cash reserve ratio question?

[gurmeet]

it was (A), 5000

[B]

@ Gurmeet I was talking about the question where a single variable regression model was given and it was given that R^2=0 and it was asked what does it imply.. Does it mean coefficient of independent variable will be zero and/or the independent variable is a constant?

[anon_econ]

i agree with this