Suppose that X has a hypergeometric distribution with N = 1000, k = 600 and n=200. Find the probability P (x is less than or equal to 40). a.) Find the probability P (x is less than or equal to 40) based on the corresponding hypergeometric distribution. b.) Is the normal approximation reasonable? c.) Find the probability P (x is less than or equal to 40) based on the approximate normal distribution.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
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Hypergeometric Distribution
Suppose that X has a hypergeometric distribution with N = 1000, k = 600 and
n=200. Find the probability P (x is less than or equal to 40).
a.) Find the probability P (x is less than or equal to 40) based on the
corresponding hypergeometric distribution.
b.) Is the normal approximation reasonable?
c.) Find the probability P (x is less than or equal to 40) based on the
approximate normal distribution.
Transcribed Image Text:Hypergeometric Distribution Suppose that X has a hypergeometric distribution with N = 1000, k = 600 and n=200. Find the probability P (x is less than or equal to 40). a.) Find the probability P (x is less than or equal to 40) based on the corresponding hypergeometric distribution. b.) Is the normal approximation reasonable? c.) Find the probability P (x is less than or equal to 40) based on the approximate normal distribution.
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