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Please solve and explain this question. Thanks! (b) An employer is about to hire one new graduate from a group of n candidates. The n

Please solve and explain this question. Thanks!

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(b) An employer is about to hire one new graduate from a group of n candidates. The n candidates can be ranked in a unilateral order according to their abilities (i.e. no two candidates have the same ability). The employer proceeds according to both of the following rules: . Each candidate is interviewed in succession (in a random order) and a decision is made whether to hire the candidate at the end of each interview. . Having rejected m 1 candidates (m > 1), the employer can hire the mth candidate only if the ability of the mth candidate is better than those of the previous m 1 candidates. We are told that a candidate was hired at the end of the ith interview. Find the probability that this hired person was the candidate with the highest ability. State this probability for '1', = 1, 2, k and n (where k

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