Answer:
Step-by-step explanation:
Let be the probability of lying an applicant, so,
.
Any applicant will either lie or will tell the truth.
Let be the probability of telling the truth, so,
As for every applicant , so this is Bernoullies trials, for which
the probability of success of exactly times of an event out of
trials is
.
Now, let be the event of at least one of the applicants is lying out of
applicants, here the total number of applicants,
.
So,
This is equivalent to
as
Now, from equation (iii),
[from equations s (i) and (ii)]
(approx)
Hence, the probability that the lie detector indicates that at least one of the applicants is lying is
