Poisson Distribution and Chebyshev's Inequality

[ryanj123]

Homework Statement

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

Homework Equations

Chebyshev's Inequality.

The Attempt at a Solution

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

 

[rochfor1]

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