Johnson Chemicals is considering two optionsfor its supplier portfolio. Option 1 uses two local suppliers.Each has a “unique-event” risk of 5%, and the probability ofa “super-event” that would disable both at the same time isestimated to be 1.5%. Option 2 uses two suppliers located indifferent countries. Each has a “unique-event” risk of 13%,and the probability of a “super-event” that would disable bothat the same time is estimated to be 0.2%.a) What is the probability that both suppliers will bedisrupted using option 1?b) What is the probability that both suppliers will bedisrupted using option 2?c) Which option would provide the lowest risk of a totalshutdown?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Johnson Chemicals is considering two options
for its supplier portfolio. Option 1 uses two local suppliers.
Each has a “unique-event” risk of 5%, and the probability of
a “super-event” that would disable both at the same time is
estimated to be 1.5%. Option 2 uses two suppliers located in
different countries. Each has a “unique-event” risk of 13%,
and the probability of a “super-event” that would disable both
at the same time is estimated to be 0.2%.
a) What is the probability that both suppliers will be
disrupted using option 1?
b) What is the probability that both suppliers will be
disrupted using option 2?
c) Which option would provide the lowest risk of a total
shutdown?

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