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You have been asked to interview candidates for an open secretarial position. Each candidate's qualifications for the job can be modeled with a lognormal distribution

You have been asked to interview candidates for an open secretarial position. Each candidate's qualifications for the job can be modeled with a lognormal distribution with a mean of 10 and a standard deviation of 5. Unfortunately, you must decide whether to offer the job to each candidate in turn before being able to interview the next candidates. In other words, you will first interview candidate 1 and then decide whether to make an offer or not. If you do not make an offer to candidate 1, then you will interview candidate 2 and again decide whether to make an offer or not. If you pass candidate 2, you will go on to candidate 3, and so on. Suppose that if you have not made an offer to the first nine candidates, then you will be forced to accept the 10th candidate. Assume all offers are accepted. 2 Your objective is to hire the candidate with the highest possible qualifications. To achieve this, you plan to set a minimum acceptable score (MAS) for each interview. For example, you can decide to accept the first candidate with a score over 8. Then, your MAS would be 8 at each interview

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