Binomial Distribution Suppose that X is a binomial random variable with n=200 and p=0.5. a.) Find the probability P(x is less than or equal to 40)based on the approximate normal distribution. b.) Find the probability P(x is less than or equal to 40)based on the corresponding binomial distribution. c.) Is the normal approximation reasonable?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Binomial Distribution
Suppose that X is a binomial random variable with n=200 and p=0.5.
a.) Find the probability P(x is less than or equal to 40)based on the
approximate normal distribution.
b.) Find the probability P(x is less than or equal to 40)based on the
corresponding binomial distribution.
c.) Is the normal approximation reasonable?
Transcribed Image Text:Binomial Distribution Suppose that X is a binomial random variable with n=200 and p=0.5. a.) Find the probability P(x is less than or equal to 40)based on the approximate normal distribution. b.) Find the probability P(x is less than or equal to 40)based on the corresponding binomial distribution. c.) Is the normal approximation reasonable?
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