Suppose that a simple random sample of size n is taken from a finite population in which the proportion of members having a specied attribute is p. Let X be the number of members sampled that have the specied attribute. a. If the sampling is done with replacement, identify the probability distribution of X.b. If the sampling is done without replacement, identify the probability distribution of X.c. Under what conditions is it acceptable to approximate the probability distribution in part (b) by the probability distribution in part (a)? Why is it acceptable?
Suppose that a simple random sample of size n is taken from a finite population in which the proportion of members having a specied attribute is p. Let X be the number of members sampled that have the specied attribute. a. If the sampling is done with replacement, identify the probability distribution of X.b. If the sampling is done without replacement, identify the probability distribution of X.c. Under what conditions is it acceptable to approximate the probability distribution in part (b) by the probability distribution in part (a)? Why is it acceptable?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Suppose that a simple random
a. If the sampling is done with replacement, identify the
b. If the sampling is done without replacement, identify the probability distribution of X.
c. Under what conditions is it acceptable to approximate the probability distribution in part (b) by the probability distribution in part (a)? Why is it acceptable?
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