A survey conducted by the Northwestern University Lindquist-Endicott Report asked 320 companies about the procedures they use in hiring. Only 54% of the responding companies review the applicant's college transcript as part of the hiring process, and only 44% consider faculty references. Assume that these percentages are true for the population of companies in the United States and that 35% of all companies use both the applicant's college transcript and faculty references.

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

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

c. What is the probability that a randomly selected company uses neither faculty references nor college transcript 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.