their forms. rest. 11) An insurance company subcontracts two data processing firms to handle Firm #1 handles 80% of the forms and Firm #2 handles the not perfect: it is known that 2% of all forms processed by Firm #1 Unfortunately, these firms are run by people and are therefore will be processed incorrectly and that 5% of those from Firm #2 will also be processed incorrectly. Suppose a random form is chosen from those that have been processed. What is the probability that this form was processed by Firm #2, given that it was processed incorrectly? (Hint: a probability tree or Bayes' Theorem may be

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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11) An insurance company subcontracts two data processing firms to handle
their forms.
rest
Firm #1 handles 80% of the forms and Firm #2 handles the
not perfect: it is known that 2% of all forms processed by Firm #1
Unfortunately, these firms are run by people and are therefore
will be processed incorrectly and that 5% of those from Firm #2 will
also be processed incorrectly.
Suppose a random form is chosen from
those that have been processed.
What is the probability that this
form was processed by Firm #2, given that it was processed
incorrectly? (Hint: a probability tree or Bayes' Theorem may be
helpful.)
INDUNG
^
correct
Transcribed Image Text:11) An insurance company subcontracts two data processing firms to handle their forms. rest Firm #1 handles 80% of the forms and Firm #2 handles the not perfect: it is known that 2% of all forms processed by Firm #1 Unfortunately, these firms are run by people and are therefore will be processed incorrectly and that 5% of those from Firm #2 will also be processed incorrectly. Suppose a random form is chosen from those that have been processed. What is the probability that this form was processed by Firm #2, given that it was processed incorrectly? (Hint: a probability tree or Bayes' Theorem may be helpful.) INDUNG ^ correct
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