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A conditional expectation is the expectation of a random variable, given information on another variable or variables (mostly, by specifying their value).

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Finding variance?

$\newcommand{\Var}{\mathrm{Var}}$ Consider $Z_i$ as a binary random variable with $\mathrm{Pr}[Z_i = 1] = \pi$. Also, consider $Y_i$ as: $Y_i|Z_i = 0 \sim \mathrm{Poisson} (\lambda_0) $ $Y_i|Z_i = 1 …
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