Probability I: Introductory Ideas

Rob Rales is preparing a report that his employer, the titre Corporation, will eventually deliver to the Federal Aviation Administration. First, the report must be approved by Rob's group leader, department head, and division chief. Rob knows from experience that the three managers act independently. Further, he knows that his groups leader approves 85 percent of his reports, his department head approves 80 percent of the reports written by Rob that each him, and his division chief approves 82 percent of Rob"s work.

  1. What is the probability thaty he first version of Rob's report is submitted to the FAA?
  2. What is the probability that the first version of Rob's report is approved by this group leader and department head, but is not approved by his division chief?

Solution

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