grandes-ecoles 2020 Q21

grandes-ecoles · France · mines-ponts-maths2__mp_cpge Poisson distribution

We assume that $d = 2$ and that the distribution of $X$ is given by $$P ( X = ( 0,1 ) ) = P ( X = ( 0 , - 1 ) ) = P ( X = ( 1,0 ) ) = P ( X = ( - 1,0 ) ) = \frac { 1 } { 4 }$$ Give a simple equivalent of $E \left( N _ { n } \right)$ as $n$ tends to $+ \infty$.

We assume that $d = 2$ and that the distribution of $X$ is given by
$$P ( X = ( 0,1 ) ) = P ( X = ( 0 , - 1 ) ) = P ( X = ( 1,0 ) ) = P ( X = ( - 1,0 ) ) = \frac { 1 } { 4 }$$
Give a simple equivalent of $E \left( N _ { n } \right)$ as $n$ tends to $+ \infty$.

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