- #1
Alexsandro
- 51
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Could someone help me to find the probability distribution de XY below ?
Take [tex] \Omega [/tex] 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 [itex] \frac{1}{10}, \frac{1}{10}, \frac{1}{5}, \frac{1}{5}, \frac{2}{5}, [/itex] respectively; another random variable Y which takes the values [itex] \sqrt{2}, \sqrt{3}, \pi [/itex] with probabilities [itex] \frac{1}{5}, \frac{3}{10}, \frac{1}{2} [/itex]. Find the probability distribution of XY.
Take [tex] \Omega [/tex] 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 [itex] \frac{1}{10}, \frac{1}{10}, \frac{1}{5}, \frac{1}{5}, \frac{2}{5}, [/itex] respectively; another random variable Y which takes the values [itex] \sqrt{2}, \sqrt{3}, \pi [/itex] with probabilities [itex] \frac{1}{5}, \frac{3}{10}, \frac{1}{2} [/itex]. Find the probability distribution of XY.