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Are the events employed and unemployed mutually exclusive

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Question: The following table gives a two-way classification, based on gender and employment status, of the civilian labor force age 16 to 24 years as of July 2002. The numbers in the table are in thousands.

                    Employed           Unemployed
Male               11,232                 1615
Female           1.0,353                1435

Source: U.S. Bureau of Labor Statistics, August 13, 2002.

a. If one person is selected at random from these young persons, find the probability that this person is

i. unemployed
ii. a female
iii. employed given the person is male
iv. a female given the person is unemployed

b. Are the events "employed" and "unemployed" mutually exclusive? What about the events "unemployed" and "male"?

c. Are the events "female" and "employed" independent? Why or why not?

Reference no: EM13577699

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