I need help in solving the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

Let X be uniformly distributed over [0,1]. And for some c in (0,1), define Y = 1 if X>= c and Y = 0 if X < c. Find E[X|Y].

My main problem is that I am having difficulty solving for f(X|Y) since X is continuous (uniform continuous over [0,1]) while Y is discrete (takes values of 0 or 1 only)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Conditional expectation (discrete + continuous)

**Physics Forums | Science Articles, Homework Help, Discussion**