An engineering company has four openings and the applicant pool consis

Virginia Caron

Virginia Caron

Answered question

2021-12-02

An engineering company has four openings and the applicant pool consists of 6 database administrators and eight network engineers. All are equally qualified so the hiring will be done randomly. The hiring committee consists of 4 women and 4 men.
d. How many ways can 1 network engineers be chosen?
e. What is the probability that the random selection of the four persons to be hired will result in 3 database administrators and 1 network engineer?

Answer & Explanation

Charles Randolph

Charles Randolph

Beginner2021-12-03Added 16 answers

Step 1
4 applicant need to hired if one is network engineers other 3 will be database administrators.
So 1 network engineers would be hired from 8 network engineers and 3 database administrator will be hired from 6 database administrator.
Number of ways=(81)×(63)
=8×20
=160
Therefore, there are 160 ways.
Step 2
Total number of selecting 4 people from 14(8+6) applicants
Total=(144)
=1001
The probability that the random selection of the four persons to be hired will result in 3 database administrators and 1 network engineer will be:
Probability=Number of waysTotal number of ways
=1601001
=0.15984
Thus, the required probability of 0.15984

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