Define independent and mutually exclusive events.

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Part 1 – Define independent and mutually exclusive events. Can two events be mutually exclusive and independent simultaneously? 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).

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