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For Questions , Use the Following Narrative

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For Questions , use the following narrative
Narrative: cell phone owners
Suppose numerous random samples of size 2,500 are taken from a population made up of 20% cell phone owners.
-{Cell phone owners narrative} The chance of having at least 20% cell phone owners in a random sample from this population is 50%, no matter what size the sample is (as long as it is large enough for the Rule for Sample Proportions to apply).Why?

Interpret the concepts of prior, posterior, and likelihood probabilities.
Use probability trees and other visual tools for probability calculations.
Understand the significance and application of Bayes' Law in revising probabilities based on new information.
Calculate probabilities of specific outcomes in given scenarios, such as test passing rates across different locations.

Definitions:

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Purpose

The purpose behind why something is done, created, or exists.

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