Given the Executive Management category from the table, 3DR would use this statistical formula P(EM) = Total # Executive Management attendees/Total # attendees. For this, 3DR would take the total number of recorded Executive Management attendees (i.e. 230) and divide by total number of recorded attendees (i.e. 584); P(EM) = 230/584 = .393. As a result, the probability of selecting an attendee from the:
- Executive Management category would be 39.3%,
- Project Manager (P(PM) = 227/584 = .388 = 38.8%),
- Engineering/Technical Lead (P(ETL) = 86/584 = .147 = 14.7%), and
- Sales/Marketing (P(SM) = 41/584 = .070 = 7%).
By using the probability formula highlighted above, 3DR can show its attendees that the selected winners of the lottery were fair and that no bias was entered into the random selection process other than factual data collected via RFID wristbands.
Black, K. (2011). Business Statistics: For Contemporary Decision Making, 7th Edition. Wiley.
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