grandes-ecoles 2015 QIV.A

grandes-ecoles · France · centrale-maths1__psi Probability Generating Functions Explicit computation of a PGF or characteristic function

We assume that, for all $k\in\mathbb{N}$, $p_k=\frac{1}{2^{k+1}}$.
Express, for $t\in[0,1]$, $f(t)$ and calculate $m$.

We assume that, for all $k\in\mathbb{N}$, $p_k=\frac{1}{2^{k+1}}$.

Express, for $t\in[0,1]$, $f(t)$ and calculate $m$.