Use Bayes' Theorem or a Tree Diagram to Calculate the Indicated

question 244

Short Answer

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places.
​ $Y _ { 1 }$ , $Y _ { 2 }$ , $Y _ { 3 }$ form a partition of S.
​ $P \left( X \mid Y _ { 1 } \right) = 0.2$ , $P \left( X \mid Y _ { 2 } \right) = 0.4$ , $P \left( X \mid Y _ { 3 } \right) = 0.5$ , $P \left( Y _ { 1 } \right) = 0.2$ , $P \left( Y _ { 2 } \right) = 0.5$ .
​
Find $P \left( Y _ { 2 } \mid X \right)$ .
​ $P \left( Y _ { 2 } \mid X \right) =$ __________

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Definitions:

Trend Analysis

Trend analysis is a technique used in financial analysis and business strategy to identify patterns and predict future movements in data over time, often utilized for revenue, expenses, and stock prices.

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A financial analysis technique that compares line items in financial statements over multiple periods to identify trends and changes.

Horizontal Analysis

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