Let X 1 , . . . , X 10 be independent Poisson random variables with λ

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Let X1, . . . , X10be independent Poisson random variables with λ = 1. Consider i=1X¡ > 14). PΣ(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.
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