4.14 A survey conducted by the Northwestern UniversityLindquist-Endicott Report asked 320 companies about the proceduresthey use in hiring. Only 54% of the responding companies review theapplicant’s college transcript as part of the hiring process, andonly 44% consider faculty references.Assume that these percentagesare true for the population of companies in the United States andthat 35% of all companies use both the applicant’s collegetranscript and faculty references. a. What is the probability thata randomly selected company uses either faculty references orcollege transcript as part of the hiring process? b. What is theprobability that a randomly selected company uses either facultyreferences or college transcript but not both as part of the hiringprocess? c. What is the probability that a randomly selectedcompany uses neither faculty references nor college transcript aspart of the hiring process? d. Construct a probability matrix forthis problem and indicate the locations of your answers for parts(a), (b), and (c) on the matrix.

4.18 A survey conducted by the Northwestern UniversityLindquist-Endicott Report asked 320 companies about the proceduresthey use in hiring. Only 54% of the responding companies review theapplicant’s college transcript as part of the hiring process, andonly 44% consider faculty references. Assume that these percentagesare true for the population of companies in the United States andthat 35% of all companies use both the applicant’s collegetranscript and faculty references. a. What is the probability thata randomly selected company uses either faculty references orcollege transcript as part of the hiring process? b. What is theprobability that a randomly selected company uses either facultyreferences or college transcript but not both as part of the hiringprocess? c. What is the probability that a randomly selectedcompany uses neither faculty references nor college transcript aspart of the hiring process? d. Construct a probability matrix forthis problem and indicate the locations of your answers for parts(a), (b), and (c) on the matrix.