A survey in the U.S. asked companies about the procedures they use in hiring. Only 54% of the responding companies review the applicant’s university results as part of the hiring process, and only 44% consider faculty references. Assume that these percentages are also true for the population of companies in Canada and that 35% of all companies use both the applicant’s university results and faculty references.

a. What is the probability that a randomly selected company uses either faculty references or university results as part of the hiring process?

b. What is the probability that a randomly selected company uses either faculty references or university results but not both as part of the hiring process?

c. What is the probability that a randomly selected company uses neither faculty references nor university results as part of the hiring process?

d. Construct a probability matrix for this problem and indicate the locations of your answers for parts (a), (b), and (c) on the matrix.