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Suppose an employer will hire one new employee from a group of n candidates interviewed in a random ordem according to the algorithm HIRE-NEW-ASSISTANT as shown below. As they are interviewed in succession, a decision is made for each whether to hire or not. A necessary (but not sufficient) condition for deciding to hire a candidate is that the candidate must be better than all previous candidates who were interviewed but not hired. Suppose candidate ci is hired. What is the probability that it was the best of all n candidates? HIR -NEW-ASSISTANT(candidates [c1, c2,...cn]) for k = 1 to n Interview candidate ck If candidate ck is bette than candidates c1... ck-1 With 50% chance Hire candidate ck Return ck Otherwise Reject ck and continue

Suppose an employer will hire one new employee from a group of n candidates interviewed in a random ordem according to the algorithm HIRE-NEW-ASSISTANT as shown below. As they are interviewed in succession, a decision is made for each whether to hire or not. A necessary (but not sufficient) condition for deciding to hire a candidate is that the candidate must be better than all previous candidates who were interviewed but not hired. Suppose candidate ci is hired. What is the probability that it was the best of all n candidates? HIR -NEW-ASSISTANT(candidates [c1, c2,...cn]) for k = 1 to n Interview candidate ck If candidate ck is bette than candidates c1... ck-1 With 50% chance Hire candidate ck Return ck Otherwise Reject ck and continue

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose an employer will hire one new employee from a group of n candidates interviewed in a random order, according to the algorithm HIRE-NEW-ASSISTANT as shown below. As they are interviewed in succession, a decision is made for each whether to hire or not. A necessary (but not sufficient) condition for deciding to hire a candidate is that the candidate must be better than all previous candidates who were interviewed but not hired. Suppose candidate ci is hired. What is the probability that it was the best of all n candidates? HIRE -NEW-ASSISTANT(candidates [c1, c2, ...cn]) for k =1 to n Interview candidate ck If candidate ck is better than candidates c1 ... ck-1 With 50% chance Hire candidate ck Return ck Otherwise Reject ck and continue
Transcribed Image Text:Suppose an employer will hire one new employee from a group of n candidates interviewed in a random order, according to the algorithm HIRE-NEW-ASSISTANT as shown below. As they are interviewed in succession, a decision is made for each whether to hire or not. A necessary (but not sufficient) condition for deciding to hire a candidate is that the candidate must be better than all previous candidates who were interviewed but not hired. Suppose candidate ci is hired. What is the probability that it was the best of all n candidates? HIRE -NEW-ASSISTANT(candidates [c1, c2, ...cn]) for k =1 to n Interview candidate ck If candidate ck is better than candidates c1 ... ck-1 With 50% chance Hire candidate ck Return ck Otherwise Reject ck and continue
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