4) A local mail-order catalog business employs 200 people in the packaging and s

Question

4) A local mail-order catalog business employs 200 people in the packaging and shipping departments. The personnel department maintains the records shown in Table below. Questions have arisen whether there has been a tendency to place female workers in the packaging department instead of in the shipping department. Management feels that there is no relationship between being female and working in the packaging department. They feel that these two events are independent. If an employee is selected at random from the 200 total employees, what is the probability that the employee works for the packaging department? sex Packaging Shipping Total Female 32 Male 48 Total 80 48 72 120 80 120 200

Explanation / Answer

4) A local mail-order catalog business employs 200 people in the packaging and shipping departments. The personnel department maintains the records shown in Table below. Questions have arisen whether there has been a tendency to place female workers in the packaging department instead of in the shipping department. Management feels that there is no relationship between being female and working in the packaging department. They feel that these two events are independent. If an employee is selected at random from the 200 total employees, what is the probability that the employee works for the packaging department? sex Packaging Shipping Total Female 32 Male 48 Total 80 48 72 120 80 120 200

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