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Given that P(A) = 0.25, P(B) = 0.8 and P(An B) = 0.2. (a) Draw a Venn diagram to illustrate the situation. (b) Are A and B independent? Why? (c) Are A and B independent? Why? Show your work.

Given that P(A) = 0.25, P(B) = 0.8 and P(An B) = 0.2. (a) Draw a Venn diagram to illustrate the situation. (b) Are A and B independent? Why? (c) Are A and B independent? Why? Show your work.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 29E
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Given that P(A) = 0.25, P(B) = 0.8 and P(An B) = 0.2. (a) Draw a Venn diagram to illustrate the situation. (b) Are A and B independent? Why? (c) Are A and B independent? Why? Show your work.
Transcribed Image Text:Given that P(A) = 0.25, P(B) = 0.8 and P(An B) = 0.2. (a) Draw a Venn diagram to illustrate the situation. (b) Are A and B independent? Why? (c) Are A and B independent? Why? Show your work.
Expert Solution
Step 1

We have given,

P(A)=0.25, P(B)=0.8 and P(A∩B)=0.2

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