Recent content by Millie

I found this question in a book: Two palyers A and B alternatively roll a pair of unbiased die. A wins if on a throw he obtain exactly 6 points, before B gets 7 points, B wining in the opposing event. If A begins the game prove that the probability of A winning is 30/61 and that the expected...

curious out of curiousity, how do you prove that \Gamma(\frac{1}{2}) = \sqrt{\pi} ?

:redface: sorry my mistake.. they are independent rv... now the question is quite simple! thanks anyway! :blushing:

we can prove that √5 is irrational through contradiction and same applies for √3. but can we prove that √5 + √3 is irrational by contradiction?

:confused: I am not sure but it seems easier to calculate Var[X]= E[X^2]- (E[X])^2 you already have E[X]. you can try to calculate E[X^2] by conditioning on Y.

anyone's help would be really appreciated. I can't figure out that one. If X and Y are joint random variables, what is the joint distribution funtion of U=min(X,Y) and V=max(X,Y). I got something like 2[u(v-u) + ½u^2)] then how do i worked towards and expression for the marginal...