The management of a company finds that 30% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. One hundred employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 95% of the satisfactory administrative assistants pass the test and 15% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant? ..... Draw the tree diagram. Choose the correct answer below. O A. 95% Pass O B. 95% Pass Satisfactory Satisfactory 30% 70% 5% Fail 5% Fail Hire Hire Pass Pass 70% 15% 30% 15% Unsatisfactory Unsatisfactory 85% 85% Fail Fail Oc. Pass OD. 70% Pass 15% Satisfactory Satisfactory 30% 15% 85% 30% Fail Fail Hire Hire Pass Pass 70% 95% 85% 95% Unsatisfactory Unsatisfactory 5% 5% Fail Fail

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The management of a company finds that 30% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will
improve the situation. One hundred employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 95% of the
satisfactory administrative assistants pass the test and 15% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job,
takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he
or she is a satisfactory administrative assistant?
Draw the tree diagram. Choose the correct answer below.
OA.
95%
Pass
Ов.
95%
Pass
Satisfactory
Satisfactory
30%
70%
5%
Fail
5%
Fail
Hire
Hire
Pass
Pass
70%
15%
30%
15%
Unsatisfactory
Unsatisfactory
85%
85%
Fail
Fail
OC.
Pass
O D.
70%
Pass
15%
Satisfactory
Satisfactory
30%
15%
85%
30%
Fail
Fail
Hire
Hire
Pass
Pass
70%
95%
85%
95%
Unsatisfactory
Unsatisfactory
5%
5%
Fail
Fail
Transcribed Image Text:The management of a company finds that 30% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. One hundred employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 95% of the satisfactory administrative assistants pass the test and 15% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant? Draw the tree diagram. Choose the correct answer below. OA. 95% Pass Ов. 95% Pass Satisfactory Satisfactory 30% 70% 5% Fail 5% Fail Hire Hire Pass Pass 70% 15% 30% 15% Unsatisfactory Unsatisfactory 85% 85% Fail Fail OC. Pass O D. 70% Pass 15% Satisfactory Satisfactory 30% 15% 85% 30% Fail Fail Hire Hire Pass Pass 70% 95% 85% 95% Unsatisfactory Unsatisfactory 5% 5% Fail Fail
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