Applicants for temporary office work at Carter Temporary Help Agency who have successfully completed a typing test are then placed in suitable positions by Nancy Dwyer and Darla Newberg. Employers who hire temporary help through the agency return a card indicating satisfaction or dissatisfaction with the work performance of those hired. From past experience it is known that 60% of the employees placed by Nancy are rated as satisfactory, whereas 65% of those placed by Darla are rated as satisfactory. Darla places 65% of the temporary office help at the agency and Nancy the remaining 35%. If a Carter office worker is rated unsatisfactory, what is the probability that he or she was placed by Darla?
A) 0.33
B) 0.37
C) 0.62
D) 0.71
E) 0.38

Question

Quizplus · Accepted Answer

The probability that an office worker is rated unsatisfactory is 1 - 0.65 = 0.35. The probability that the worker was placed by Darla is 0.65. Therefore, the probability that an office worker who is rated unsatisfactory was placed by Darla is 0.35 * 0.65 = 0.2275, or approximately 0.23.

Applicants for Temporary Office Work at Carter Temporary Help Agency