Recent content by esvee

For the original variable, but the new r.v is x squared, y squared: (X^2, Y^2) It would make some sense that it would be distributed in that region...

Homework Statement The r.v (X,Y) is distributed uniformly in the triangle with vertices (0,0), (1,0), (1,-1). claim (a): The variable (X^2, Y^2) is distributed uniformly in the region {(x,y): 0 <= x <= 1, 0 <= y <= x^2}. Homework Equations - The Attempt at a Solution I have...

Homework Statement Given f:{R^2} \to R. Prove that if f is continuous individually for each variable, and monotone in the first variable, then f is continuous. Homework Equations The Attempt at a Solution Well I "succeeded" to "prove" it by choosing \min \left( {{\varepsilon...

thanks for the replies! i still don't get it, i tried various ways using the sterling approximation (i'm pretty sure I'm not allowed to use it in this coursework) and by trying to take log10 out of both of the "inequality's" sides... i can't find use for the fact that n/2 is larger than 1010...

Homework Statement i'm stuck on this question for a long time now, any help would be greatly appreciated.. which of the series gets larger values when n is sufficiently large: n! or n^(10^10)