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This exercise allows practice of the TREE DIAGRAMS useful in Conditional Probability computations. In this exercise, the tree diagram is constructed for events A, B, C, X, and Y.   (a) What is P(B)?  (b) What is P(X|B)?  (c) What is P(X AND B)?  (d) What is P(X)?  (e) What is P(B|X)?  (Please be sure to note this is NOT the same as P(X|B)) (IN THIS EXERCISE ALONE, ROUND YOUR FINAL ANSWER TO THREE DECIMAL PLACES) (f) Based on your computations, are events B and X independent events?

This exercise allows practice of the TREE DIAGRAMS useful in Conditional Probability computations. In this exercise, the tree diagram is constructed for events A, B, C, X, and Y.   (a) What is P(B)?  (b) What is P(X|B)?  (c) What is P(X AND B)?  (d) What is P(X)?  (e) What is P(B|X)?  (Please be sure to note this is NOT the same as P(X|B)) (IN THIS EXERCISE ALONE, ROUND YOUR FINAL ANSWER TO THREE DECIMAL PLACES) (f) Based on your computations, are events B and X independent events?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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This exercise allows practice of the TREE DIAGRAMS useful in Conditional Probability computations. In this exercise, the tree diagram is constructed for events A, B, C, X, and Y.

 

(a) What is P(B)? 

(b) What is P(X|B)? 

(c) What is P(X AND B)? 

(d) What is P(X)? 

(e) What is P(B|X)?  (Please be sure to note this is NOT the same as P(X|B)) (IN THIS EXERCISE ALONE, ROUND YOUR FINAL ANSWER TO THREE DECIMAL PLACES)

(f) Based on your computations, are events B and X independent events? 

.22 .71 .31 .69 .18 ? .82 .43 (.22)(.31)=.0682 (.22)(.69) .1518 (?)(.18)=?? (?)(.82)=?? (.71)(?)=?? (.71)(.43)=.3053
Transcribed Image Text:.22 .71 .31 .69 .18 ? .82 .43 (.22)(.31)=.0682 (.22)(.69) .1518 (?)(.18)=?? (?)(.82)=?? (.71)(?)=?? (.71)(.43)=.3053
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