We assume that, for all $k\in\mathbb{N}$, $p_k=\frac{1}{2^{k+1}}$. Express, for $s\in\left[0,1\left[$, $G_Z(s)$ in terms of $s$. Deduce the distribution of $Z$.
We assume that, for all $k\in\mathbb{N}$, $p_k=\frac{1}{2^{k+1}}$.
Express, for $s\in\left[0,1\left[$, $G_Z(s)$ in terms of $s$.
Deduce the distribution of $Z$.