In an APA formatted Word document complete the following: (3 pages or 750 words)

Part 1 – a. Define independent and mutually exclusive events.  b. Can two events be mutually exclusive and independent simultaneously?  c. Support your answer with an example.

Part 2 – A bag contains 25 balls numbered 1 through 25. Suppose an odd number is considered a 'success'. Two balls are drawn from the bag with replacement. Find the probability of getting:

• two successes
• exactly one success
• at least one success
• no success

Part 3 – Using the attached data set for our company, what is the probability of selecting each rank (for example, supervisor).