Ten applicants applied for jobs in a company. The review process has three stages. The company first screens the CVs of the applicants. In this first stage, the prob- ability that an applicant is not rejected at this stage is 0.5. The applications of those who quality move to the second stage which consists of a written exam. The probability that an applicant passes the exam is 0.75. Finally, the applicants that pass the written exam advance to the third stage which consists of a personal interview. The probability that an applicant that passes the written exam gets hired after the interview is 0.8. i. What is the PMF, expected value, and variance of the number of applicants who will end up being hired ii. If the company has a target of hiring three applicants, what is the probability that the target is met or exceeded?

Ten applicants applied for jobs in a company. The review process has three stages. The company first screens the CVs of the applicants. In this first stage, the prob- ability that an applicant is not rejected at this stage is 0.5. The applications of those who quality move to the second stage which consists of a written exam. The probability that an applicant passes the exam is 0.75. Finally, the applicants that pass the written exam advance to the third stage which consists of a personal interview. The probability that an applicant that passes the written exam gets hired after the interview is 0.8. i. What is the PMF, expected value, and variance of the number of applicants who will end up being hired ii. If the company has a target of hiring three applicants, what is the probability that the target is met or exceeded?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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