Let U and V be independent and identically distributed uniformly on the interval [0, 1].

Show that for 0<x<1;

P(x<V<U^2)=1/3 - x + (2/3)*x^3

and hence write down the density of V conditional on the event that V<U^2.

- Apr 19th 2009, 10:16 AMdjones90Two independant and identically distributed uniform distributions
Let U and V be independent and identically distributed uniformly on the interval [0, 1].

Show that for 0<x<1;

P(x<V<U^2)=1/3 - x + (2/3)*x^3

and hence write down the density of V conditional on the event that V<U^2.

- Apr 20th 2009, 05:28 AMmr fantastic
- Apr 22nd 2009, 02:49 AMdjones90
my mistake.

Thanks!