firm is currenty wondng on power plants at three diferen operations df union, ection, and complemer nowing events it of A,. A and A, draw a Venn diagram, and shade the region corresponding to each one. (a) At least one plant is completed by the contract date. O A, NA,NA, O A, NA,'NA, O A, U (Ag n Ag) O A UAg UAg A Subscripti 1 subscript/2) A Subscripti subscript|2) A Subscript|3) A Subscript|3]

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An engineering construction firm is currently working on power plants at three different sites. Let A, denote the event that the plant at site i is completed by the contract date. Use the operations of union, intersection, and complementation to describe each of the following events in terms
of A,, A,, and A3, draw a Venn diagram, and shade the region corresponding to each one.
(a) At least one plant is completed by the contract date.
O A, NA, N A3
O A, N Az'n Ag'
O A, U (A, N Ag)
O (A, NA, NA,)U (A,'N A, NA;) U (A,'NA,'N A,)
O A, U A, U A3
A Subscript[1
4 Subscript|2]
A Subscript[1
4 Subscript|2]
A Subscript[3]
A Subscript[3]
A Subscript[1
Subscript[2]
A Subscript[1
4 Subscript[2]
A Subscript[3]
A Subscript[3]
Transcribed Image Text:An engineering construction firm is currently working on power plants at three different sites. Let A, denote the event that the plant at site i is completed by the contract date. Use the operations of union, intersection, and complementation to describe each of the following events in terms of A,, A,, and A3, draw a Venn diagram, and shade the region corresponding to each one. (a) At least one plant is completed by the contract date. O A, NA, N A3 O A, N Az'n Ag' O A, U (A, N Ag) O (A, NA, NA,)U (A,'N A, NA;) U (A,'NA,'N A,) O A, U A, U A3 A Subscript[1 4 Subscript|2] A Subscript[1 4 Subscript|2] A Subscript[3] A Subscript[3] A Subscript[1 Subscript[2] A Subscript[1 4 Subscript[2] A Subscript[3] A Subscript[3]
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Step 1

Venn diagram is the graphical representation of set.

Here, Ai denote the plant at the site i is completed by the contract date.

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