grandes-ecoles 2017 QII.A.1

grandes-ecoles · France · centrale-maths1__psi Discrete Random Variables Probability Bounds and Inequalities for Discrete Variables

Let $a$ be a real number. Show $P(X \geqslant a) = 0 \quad \Longleftrightarrow \quad \forall n \in \mathbb{N}^{*}, \quad P\left(S_{n} \geqslant na\right) = 0$.

Let $a$ be a real number. Show $P(X \geqslant a) = 0 \quad \Longleftrightarrow \quad \forall n \in \mathbb{N}^{*}, \quad P\left(S_{n} \geqslant na\right) = 0$.

Paper Questions

QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.B.1 QI.B.2 QI.C.1 QI.C.2 QI.C.3 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.C.1 QII.C.2 QII.C.3