$4.$ Individual Problems $17-6$ The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so$,$ and the applicants all seem to bring different levels of expertise. For each applicant, the HR manager gathers information by trying to verify various claims on the candidate's r$$sum$,$ but some doubt about $$fit$$ always lingers when a decision to hire or not is to be made. Suppose that hiring