SELF 4.24 What business and technical skills are cr Test for today's business intelligence/analytics and infor- mation management professionals? As part of Information Week's 2013 U.S. IT Salary Survey, business intelligence/analytics and information management professionals, both staff and managers, were asked to indicate what business and technical skills are criti- cal to their job. The list of business and technical skills included Analyzing Data. The following table summarizes the responses to this skill: PROFESSIONAL POSITION Total ANALYZING DATA Staff Management Critical 4,374 3,633 Not critical 3,436 2,631 Total 7,810 6,264 Source: Data extracted from "IT Salaries Show Slow Growth," Information Week Reports, April 2013, p. 40, ubm.io/lewjKT5. 8,007 6,067 14,074 a. Given that a professional is staff, what is the probability that the professional indicates analyzing data as critical to his or her job? b. Given that a professional is staff, what is the probability that the professional does not indicate analyzing data as critical to his or her job? c. Given that a professional is a manager, what is the probability that the professional indicates analyzing data as critical to his or her job? d. Given that a professional is a manager, what is the probability that the professional does not indicate analyzing data as critical online analyzing data e