Let x1x10nbspbe independent poisson random variables with

Question

Let X₁,...,X₁₀ be independent Poisson random variables with λ = 1.

(a) What does Markov's inequality say about this probability?

(b) What does Chebyshev's inequality say?

(c) What does the central limit theorem say?

(d) What does the central limit theorem say with continuity correction?

(e) Find the exact probability.