Of 100 individuals who applied for systems analyst positions with a large firm during the past year, 40
had some prior work experience (W), and 30 had a professional certificate (C). However, 20 of the
applicants had both work experience and a certificate, and thus are included in both of the counts.
a) Construct a Venn diagram to portray these events.
b) What is the probability that a randomly chosen applicant had either work experience or a
certificate (or both)?
c) What is the probability that a random chosen applicant had either work experience or a
certificate but not both?
d) determine the conditional probability that a randomly chosen applicant has a certificate given
that he has some previous work experience.
e) Apply an appropriate test to determine if work experience and certification are independent
events.