In an APA formatted Word document complete the following:

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

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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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Complete the following in an APA-formatted Word document:

Part 1 – Identify events that are separate and mutually exclusive. Can two events be both mutually exclusive and independent at the same time? Give an example to back up your response.

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Part 2 consists of 25 balls numbered 1 through 25 in a bag. Assume that an odd number is deemed a’success.’ Two replacement balls are selected from the bag. Determine the likelihood of receiving

two triumphs
only one success
at least one triumph
there was no success
Part 3 – What is the likelihood of selecting each rank using the attached data set for our company? (for example, supervisor).