Re: dse 2004 .. duck pls see

Posted by duck on Jun 19, 2013; 11:41am
URL: http://discussion-forum.276.s1.nabble.com/dse-2004-duck-pls-see-tp7582513p7582593.html

Q10) You must have done some calculation error.
Profits = (1-(3-4c/6)-(c/3))(3-4c/6) - c(3-4c/6) - (9c^2-13c/18)
Maximise it wrt c.

Q30) P(X<-1) = P(X>1) = p
Now, P(X^2 > 1) = P( 1<X<-1) = 2p
P(Y^3 > 1) = P(Y>1) = p   [As  X and Y are independent random variables with standard Normal Distribution]

Therefore,
P(X^2>1 & Y^3>1) = P(X^2>1) * P(Y^3>1)  [ As independent]
                                          = 2p*p  
                                          = 2(p^2)