Answered: Let X be a Poisson random variable with…

Let X be a Poisson random variable with mean λ = 20. Estimate the probability P(X ≥25) based on: (a) Markov inequality. (b) Chebyshev inequality. (c) Chernoff bound. (d) Central limit theorem.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Question

Let X be a Poisson random variable with mean λ = 20. Estimate the probability P(X ≥25)
based on:
(a) Markov inequality.
(b) Chebyshev inequality.
(c) Chernoff bound.
(d) Central limit theorem.

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