Question
Let π and π be independent random variables, uniformly distributed on [0,1]. Let π=min{π,π} and π=max{π,π}. Let π=π[ππ] and π=π[π].
1. Find π. 2. Find π. 3. Find Cov(π,π).
You can give either a numerical answer or a symbolic expression involving π and π. (There are many possible equivalent answers.)
1. Find π. 2. Find π. 3. Find Cov(π,π).
You can give either a numerical answer or a symbolic expression involving π and π. (There are many possible equivalent answers.)
Answers
Anonymous
1. 1/4
2. 1/2
3. 0
2. 1/2
3. 0