5) (a) By drawing a suitable Venn diagram, carefully explain whyAUB= ANB(b) Show that if A and B are independent, then A and B are also independent.

(a) By drawing suitable vann diagram, we need to explain that : A¯∪B¯ = A∩B¯ (b) we need to show…

Answered: 5) (a) By drawing a suitable Venn…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 31EQ: 31. In Example 2.35, describe all possible configurations of lights that can be obtained if we...

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What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two shown in the Venn Diagram?
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Construct a Venn Diagram for the scenario. Suppose that a total of 208 students are enrolled in a Math course which offers three classes under Instructor X, Instructor Y, and Instructor Z. 4 students are enrolled under all three instructors. 48 students are enrolled under Instructor. Y. Twice as many students are enrolled under Instructor Y and Z (but not Instructor X) as those who are enrolled under both Instructor Y and X (but not Instructor Z), and 4 times as many as those enrolled under all three instructors. 124 students are enrolled in Instructor Z. 27 students are not enrolled in any class. Students enrolled under both Instructor Y and Z (but not Instructor X) is exactly the same size as the students enrolled under both Instructor X and Z.
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5) (a) By drawing a suitable Venn diagram, carefully explain why AUB=ANB (b) Show that if A and B are independent, then A and B are also independent.