Poisson Distribution and Markov's Inequality

"The random variable X has a Poisson distribution with parameter λ = 3. By employing Markov’s inequality,

calculate bounds for P (X ≥ 7) in the cases where k = 1, 2. Which of the two estimates is better?"

What I've done:

P_X(k)=0.22404" alt="\ P_X(k)=0.22404" />

I'm not sure if thats right or have any idea which is a better estimate. Could someone help explain please? Thanks

Re: Poisson Distribution and Markov's Inequality

Re: Poisson Distribution and Markov's Inequality

Ah ok, so with m=1

so with m=2

so ?

which would then make m=2 the better estimate :)

Re: Poisson Distribution and Markov's Inequality

Quote:

Originally Posted by

**carla1985** Ah ok, so with m=1

so with m=2

so

?

which would then make m=2 the better estimate

I think you meant .

But yes! :cool:

Re: Poisson Distribution and Markov's Inequality

yes thats what i meant. thank you very much :D