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单选题:Hiring Problem Revisit

Luz4年前 (2022-06-30)题库772
Consider the hiring problem. Assume that the $$n$$ candidates arrive in random order, and that no two candidates have the same performance. Let $$k$$ be some fixed parameter in the range $$[1, n]$$. We use the following algorithm.

interview the first k candidates, but hire none of them
for candidates i = k+1 to n
if candidate i is better than all the first k candidates
hire candidate i

How many candidtes will be hired in expectation?



A.$$ln \frac{n}{k}$$
B.$$(n-k)/(k+1)$$
C.$$ln(n-k)$$
D.$$n/e$$


答案:B