1. Suppose that X is a binomial random variable with n= 200 and p = 0.4. Find the probability PCX< 70) based on the corresponding binomial distribution and approximate normal distribution. Is the normal approximation reasonable?
1. Suppose that X is a binomial random variable with n= 200 and p = 0.4. Find the probability PCX< 70) based on the corresponding binomial 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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Transcribed Image Text:Exercise 6.2 Compute the following:
1. Suppose that X is a binomial random variable with n= 200 and p = 0.4.
Find the probability RCX< 70) based on the corresponding binomial
distribution and approximate normal distribution. Is the normal approximation
%3D
reasonable?
2. 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?
3. Suppose that X has a Poisson distribution with h = 80. Find the probability
PCX < 70) based on the corresponding Poisson distribution and approximate
normal distribution. Is the normal approximation reasonable?
%3D
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