Department     Sex Packaging  shipping total Female 32 48 80 male 48 72 120 Total 80 120 200  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? A) if the employee selected at random is male, what is the probability that he works for the shipping department? B) if the employee selected at random is male, what is the probability that he works for the packaging department? C) is the probability of being male independent?

Question
  Department    
Sex Packaging  shipping total
Female 32 48 80
male 48 72 120
Total 80 120 200

 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? A) if the employee selected at random is male, what is the probability that he works for the shipping department? B) if the employee selected at random is male, what is the probability that he works for the packaging department? C) is the probability of being male independent?

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