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11. For each of the following pairs of events, explain why A and B are dependent or independent
90 CHAPTER 3. PROBABILITY (f) Consider the population of U.S. college freshmen, from which a student is randomly selected. Let A denote the event that the student attends the College of William & Mary, and let B denote the event that the student graduated from high school in Virginia. (g) Consider the population of all persons (living or dead) who have American university, from which one is randomly selected. Let A denote the event that the persons Ph.D. was earned before 1950 and let B denote the event that earned a Ph.D. from an the person is female (h) Consider the population of persons who resided in New Orleans before Hurricane Katrina. A person is selected at random from this population. Let A denote the event that the person left New Orleans before Katrina arrived, and let B denote the event that the person belonged to a household whose 2004 income was below the federal poverty line (i) Consider the population of all couples who married in the United States in 1995. A couple is selected at random from this popu- lation. Let A denote the event that the couple cohabited (lived together) before marrying, and let B denote the event that the couple had divorced by 2005

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f) here A denote the event that the students attends the college of William and Mary and B denote the event that the student graduated from high school in Virginia. since A does not depends on B, therefore A and B are Independent.

g) Since A is event of person's earned P.HD before 1950, and B is the event that the person is female, since a female can be such person who have earned P.HD before 1950, therefore A and B are dependent.

h) since here the income of persons living in household does not depend of living in new Orleans before Katrina, therefore A and B are Independent.

i) since there can be a couple who devorced in 2005 will be marry in 1995, therefore A and B is dependent.

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