SOLUTION: Among 120 applicants for a job in an insurance company, only 80 are actually qualified. If five of the applicants are randomly selected for an in-depth interview, find the probabi

Question 1208164: Among 120 applicants for a job in an insurance company, only 80 are actually qualified. If
five of the applicants are randomly selected for an in-depth interview, find the probability
that only two of the five will be qualified.
Answer by ikleyn(52773) (Show Source): You can put this solution on YOUR website!
.
Among 120 applicants for a job in an insurance company, only 80 are actually qualified. If
five of the applicants are randomly selected for an in-depth interview, find the probability
that only two of the five will be qualified.
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It is a binomial type distribution problem.


The number of trials is 5; the probability of success at each individual trial is 80/120 = 2/3.
They want you calculate the probability of getting two success trials from 5 trials.


Use the standard formula for binomial distribution.  For this problem, it has the form

    P =  =  = 0.1646 (rounded).    ANSWER

Solved.

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To see many other similar (and different) solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
in this site.

Learn the entire subject from there.

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