Let X 1 , , X 10 be independent Poisson random variables with Icirc raquo 1 Consider i 1X 14) P

Question: Let X 1 , . . . , X 10 be independent Poisson random variables with Î» = 1. Consider i=1X > 14). P

Let X₁, . . . , X₁₀be independent Poisson random variables with Î» = 1. Consider (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.

i=1X > 14). P"

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