Poisson Distribution and Chebyshev's Inequality

1. Nov 6, 2009

ryanj123

1. The problem statement, all variables and given/known data

LEt X have a Poisson distribution with u=100. Use Chebyshev's inequality to determine a lower bound for P(75<x<125)

2. Relevant equations

Chebyshev's Inequality.

3. The attempt at a solution

I'm really unsure of how to go about calculating this problem. Any help would be appreciated.

2. Nov 6, 2009

rochfor1

Here's a hint:
$$P( 75 < x < 100 ) = P( x < 100 ) - P( x \leq 75 )$$. Chebyshev is more directly applicable at this point.