(Solved):
4) The random variables \( X \) and \( Y \) have the following joint distribution. a) Write down t ...
4) The random variables \( X \) and \( Y \) have the following joint distribution. a) Write down the marginal distributions of \( \mathrm{X} \) and \( \mathrm{Y} \), respectively b) Find the correlation between \( X \) and \( Y \). c) What is \( \mathrm{E}(\mathrm{X} \mid \mathrm{Y}=2) \) ? What is \( \mathrm{E}(\mathrm{X} \mid \mathrm{Y}=4) \) ? What is \( \mathrm{E}(\mathrm{X} \mid \mathrm{Y}=9) \) ?