agen mated that there is a 50% chance that an agreement will be reached on the aries of the workers. It is estimated that there is a 70% chance that there will be agreement on the insurance benefits. There is a 20% chance that no agreement I be reached on either issue. e the agreement on salaries (S) and the agreement on insurance (I) independent ents? not independent because P(S) P(I) P(S and I) independent because P(S) P(I) = P(S and I) independent because P(S) · P(I) = P(S and I)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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In contract negotiations between a local government agency and its workers, it is
estimated that there is a 50% chance that an agreement will be reached on the
salaries of the workers. It is estimated that there is a 70% chance that there will be
an agreement on the insurance benefits. There is a 20% chance that no agreement
will be reached on either issue.
Are the agreement on salaries (S) and the agreement on insurance (I) independent
events?
O not independent because P(S) P(I) # P(S and I)
O independent because P(S) P(I) = P(S and I)
%3D
Oindependent because P(S) P(I) P(S and !)
Transcribed Image Text:In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue. Are the agreement on salaries (S) and the agreement on insurance (I) independent events? O not independent because P(S) P(I) # P(S and I) O independent because P(S) P(I) = P(S and I) %3D Oindependent because P(S) P(I) P(S and !)
Expert Solution
Step 1 answer

this situation can be explained through a Venn diagram

Operations Management homework question answer, step 1, image 1

SINCE p(S U I) c =0.2, P(S U I)= 0.8 Then , P(S INTERSECT I)= P(S)+P(I)- P(S U I)

IF S AND I ARE INDEPENDENT, 

Then the = 0.5+0.7-0.8

               = 0.4

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