A company uses a 'selling aptitude test in the selection of salesmen. Past experience has shown that only 70% of all persons applying for a sales position achieved a classification "dissatisfactory" in actual selling, whereas the remainder were classified as "satisfactory", 85% had scored a passing grade on the aptitude test. Only 25% of those classified unsatisfactory, had passed the test on the basis of this information. What is the probability that a candidate would be a satisfactory salesman given that he passed the aptitude test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A company uses a 'selling aptitude test in the
selection of salesmen. Past experience has
shown that only 70% of all persons applying
for a sales position achieved a classification
"dissatisfactory" in actual selling, whereas the
remainder were classified as "satisfactory",
85% had scored a passing grade on the
aptitude test. Only 25% of those classified
unsatisfactory, had passed the test on the
basis of this information. What is the
probability that a candidate would be a
satisfactory salesman given that he passed
the aptitude test?
Transcribed Image Text:Task: A company uses a 'selling aptitude test in the selection of salesmen. Past experience has shown that only 70% of all persons applying for a sales position achieved a classification "dissatisfactory" in actual selling, whereas the remainder were classified as "satisfactory", 85% had scored a passing grade on the aptitude test. Only 25% of those classified unsatisfactory, had passed the test on the basis of this information. What is the probability that a candidate would be a satisfactory salesman given that he passed the aptitude test?
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