8. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the probability P(X ≤70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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9. Suppose that X has a Poisson distribution with λ = 80. Find the probability P(X ≤ 70)
based on the corresponding Poisson distribution and approximate normal distribution.
Is the normal approximation reasonable?
Transcribed Image Text:9. Suppose that X has a Poisson distribution with λ = 80. Find the probability P(X ≤ 70) based on the corresponding Poisson distribution and approximate normal distribution. Is the normal approximation reasonable?
8. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n =
200. Find the probability P(X ≤70) based on the corresponding hypergeometric
distribution and approximate normal distribution. Is the normal approximation
reasonable?
Transcribed Image Text:8. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the probability P(X ≤70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?
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