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.
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<pre>
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 = {{{C[5]^2*(2/3)^2*(1-2/3)^(5-2)}}} = {{{((5*4)/(1*2))*(2/3)^2*(1/3)^3}}} = 0.1646 (rounded).    <Y>ANSWER</U>
</pre>

Solved.


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To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

in this site.


Learn the entire subject from there.