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Use Bayes' Rule to Find the Indicated Probability

question 13

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Use Bayes' rule to find the indicated probability.
-An water well is to be drilled in the desert where the soil is either rock,clay or sand.The probability of rock P(R) = 0.53.The clay probability is P(C) = 0.21.The sand probability is P(S) = 0.26.It if it rock,a geological test gives a positive result with 35% accuracy.If it is clay,this test gives a positive result with 48% accuracy.The test gives a 75% accuracy for sand.Given the test is positive,what is the probability that soil is rock,P(rock | positive) ?

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Definitions:

Business-to-business Buying

The process where one business purchases goods or services from another business for use in production, operations, or resale.

Organizational Buyers

Entities such as businesses, governments, and institutions that purchase goods and services for use in the production of other goods and services, for resale, or for operations.

E-marketplace

An online platform where buyers and sellers can exchange goods and services, characterized by its ease of access and broad reach.

Independent Trading Communities

Groups or networks of individual traders, investors, or small businesses that operate independently, often focused on specific markets or commodities.

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