. 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 distrībution. Is the normal approximation reasonable?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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
reasonable?
2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and
n= 200. Find the probability P(X s 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
PXs 70) based on the corresponding Poisson distribution and approximate
normal distribution. Is the normal approximation reasonable?
Transcribed Image Text: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 reasonable? 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the probability P(X s 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 PXs 70) based on the corresponding Poisson distribution and approximate normal distribution. Is the normal approximation reasonable?
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