Let ξ and η be two independent random variables taking values 1 and 0 with the probabilities p and \(q = 1 - p\) correspondingly. Find
\[ \mathbf { E } ( \xi + \eta | \eta ) . \]
\[ \mathbf { E } ( \xi | \xi + \eta ) . \]
P-TRIV-PR19
Let ξ and η be two independent random variables taking values 1 and 0 with the probabilities p and \(q = 1 - p\) correspondingly. Find
\[ \mathbf { E } ( \xi + \eta | \eta ) . \]
\[ \mathbf { E } ( \xi | \xi + \eta ) . \]