(Solution) - A survey conducted by the Northwestern University Lindquist Endicott Report asked -(2025 Original AI-Free Solution)

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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 neither faculty references nor college transcript as part of the hiring process?
c. 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?
d. What is the probability that a randomly selected company does not use faculty references as part of the hiring process or does use college transcript as part of the hiring process?