Homework Help: Probability distribution

1. Oct 19, 2005

Alexsandro

Could someone help me to find the probability distribution de XY below ?
Take $$\Omega$$ to be a set of 5 real numbers. Define a probability measure and a random variable X on it which takes the values 1, 2, 3, 4, 5 with probability $\frac{1}{10}, \frac{1}{10}, \frac{1}{5}, \frac{1}{5}, \frac{2}{5},$ respectively; another random variable Y which takes the values $\sqrt{2}, \sqrt{3}, \pi$ with probabilities $\frac{1}{5}, \frac{3}{10}, \frac{1}{2}$. Find the probability distribution of XY.

2. Oct 19, 2005

Hurkyl

Staff Emeritus
Well, where are you stuck? What have you done, and what do you think you need to do?

3. Oct 19, 2005

HallsofIvy

Just go ahead and do it! Since one possible value for x is 1 (with probability 1/10) and one possible value for y is $\sqrt{2}$ (with probability 1/5, one possible value for xy is $1*\sqrt{2}= \sqrt{2}$ with probability (1/10)(1/5)= 1/50. There are 15 possible values for xy. Calculate each of them.

4. Oct 19, 2005

Alexsandro

thanks

------------------------
Thank you, for help. One doubt, that I have, consists of knowing the best way to represent the probability distribution on this situation: for a graph or correspondence between points ???