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).