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 randomply. The hiring committee consists of 4 women and 4 men. a. If one person on the hiring committee is chosen at random to draw the names is a woman b. How many ways can the group who are to be hired be formed if there are no restrictions on composition? c. How many ways can 3 database administrators be chosen?

Question

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 randomply. The hiring committee consists of 4 women and 4 men.  a. If one person on the hiring committee is chosen at random to draw the names is a woman  b. How many ways can the group who are to be hired be formed if there are no restrictions on composition?  c. How many ways can 3 database administrators be chosen?

Anthony Caraballo · Accepted Answer

Step 1 Since we only answer up to 3 sub−parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered. a) Given that there are 4 women and 4 men in the hiring committee. So the probability of getting a woman is =n(woman)n(all members)=44+4=48=12=0.5 Step 2 b) Given that there are 6 database administrators and 8 network engineers. So there are total (6+8)=14 members. There are 4 openings. So we can pick 4 members from 14 members in 14C4=14!41(14−4)!=1001 ways Step 3 c) There are 6 database administrators. We can pick 3 database administrators from them in 6C3=6!3!(6−3)!=20 ways Answer: a) 12 or 0.5 b) 1001 c) 20

An engineering company has four openings and the applicant pool consis

Answered question

Answer & Explanation

New Questions in High school statistics