A company is hiring for an open position and has n interviews set up, one per day. Each day, if the candidate is better than the current employee, the employee is fired and the candidate is hired. Otherwise, the current employee keeps the job. What is the expected number of hirings the company will make?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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A company is hiring for an open position and has n interviews set up, one
per day. Each day, if the candidate is better than the current employee, the employee is fired and the candidate is hired. Otherwise, the current employee keeps the job.
What is the expected number of hirings the company will make?

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