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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)
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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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
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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