What result from probability theory is often used to formulate a linear difference equation involving probabilities? O the central limit theorem O the binomial theorem O Bayes' theorem O the law of total probability

What result from probability theory is often used to formulate a linear difference equation involving probabilities? O the central limit theorem O the binomial theorem O Bayes' theorem O the law of total probability

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

What result from probability theory is often used to formulate a linear difference equation involving probabilities?
O the central limit theorem
O the binomial theorem
O Bayes' theorem
O the law of total probability
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Expert Solution

Step 1

Bayes' theorem

In probability theory and statistic, Bayes' theorem (alternatively Bayes' law or Bayes' rule; recently Bayes–Price theoremnamed after the Reverend Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately (by conditioning it on their age) than simply assuming that the individual is typical of the population as a whole.

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