Question 11

Scenario: An engineering construction firm is currently working on power plants at three different sites. Use the operations of union, intersection, and complementation to describe each event. Draw a Venn diagram, and shade the region corresponding to each one.

Events:

  • - Plant at site 1 is completed by the contract date.
  • - Plant at site 1 is completed by the contract date.
  • - Plant at site 1 is completed by the contract date.

(a)

Problem: If at least one plant is completed by the contract date.

Process: ...

Answer: .

(b)

Problem: If all plants are completed by the contract date.

Process: ...

Answer: .

(c)

Problem: If only the plant at site 1 is completed by the contract date.

Process: ...

Answer: .

(d)

Problem: If exactly one plant is completed by the contract date.

Process: ...

Answer: .

(e)

Problem: If either the plant at site 1 or both of the other plants are completed by the contract date.

Process: ...

Answer: .