Let X be a binomial random variable with n=100 and p=0.25. As a reference, the precise probability that P (X ≤ 30) = 0.89621. Use the central limit theorem to give an approximation of P (X ≤ 30) [Please use continuity correction]. How does this compare with the precise value?

Let X be a binomial random variable with n=100 and p=0.25. As a reference, the precise probability that P (X ≤ 30) = 0.89621. Use the central limit theorem to give an approximation of P (X ≤ 30) [Please use continuity correction]. How does this compare with the precise value?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

7. Let X be a binomial random variable with n=100 and p=0.25. As a reference, the
precise probability that P (X ≤ 30) = 0.89621. Use the central limit theorem to give an
approximation of P (X ≤ 30) [Please use continuity correction]. How does this compare with
the precise value?

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