The following table is a summary of one of the key questions in the employee satisfaction...

The following table is a summary of one of the key questions in the employee satisfaction survey for XYZ Limited. If an employee (a male) is randomly selected, answer the questions below: (14 points)

Do you plan to be with Company one year from now?
Branch	Yes	No
Downtown	45	5
Uptown	87	9

What is the probability that he is from the Uptown branch?
What is the probability that he plans to be with the company one year from now?
What is the probability that he is from the Downtown branch and plan to be with the company one year from now?
What is the probability that he is from the Uptown branch or does not plan to be with the company one year from now?
What is the probability that he is from the Downtown branch if he plans to be with the company one year from now?
What is the probability that he plans to be with the company one year from now given that he is from the Uptown branch?
Are the events “Downtown Branch” and “plans to be with the company one year from now” independent? Justify your answer using probabilities.

Solutions

Expert Solution

The probability that he is from the Uptown branch = =0.6575

The probability that he plans to be with the company one year from now= =0.9041

The probability that he is from the Downtown branch and plans to be with the company one year from now

= = 0.3082

The probability that he is from the Uptown branch or does not plan to be with the company one year from now

= = 0.0616

The probability that he is from the Downtown branch if he plans to be with the company one year from now=

The probability that he plans to be with the company one year from now given that he is from the Uptown branch=

No, the events are not independent as

P(plans to be with the company one year from now) P(plans to be with the company| branch is Uptown)

orchestra answered 1 year ago

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