Question

1. The human resources manager at a company has classified applicants according to whether they have any computer skills (Yes or No), and whether they have previous work experience (Yes or No). The results are summarized in this table:

computer skill Yes Work Experience Total

no YEs NO

total 80 40 120

60 30 90

140 70 210

  

If an applicant is selected at random and the applicant has previous work experience, what is the probability that the applicant has computer skills? (Round your answer to 2 decimal places.)

(a) 0.38

(b) 0.67

(c) 0.86

(d) 0.57

1. Based on the above table, if an applicant is selected at random and the applicant has computer skill, what is the probability that the applicant has work experience?

a) 0.143

(b) 0.381

(c) 0.571

(d) 0.667

Answer 1

a)

Probability that an applicant has computer skills and he is experienced=80/210

Probability that an applicant is experienced=140/210

Probability that an applicant has computer skills given that he has previous experience =

[(80/210)/(140/210)]=0.5714

Correct option is

d) 0.57

b)

Probability that an applicant has computer skill=120/210

Probability that an applicant has computer skill and has work experience=80/210

Probability that an applicant has work experience given that he has computer skills =(80/210)/(120/210)=0.6667

Correct option is

d) 0.667