For each of the following pairs of events, explain why A and B are dependent or

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For each of the following pairs of events, explain why A and B are dependent or independent. Consider the population of U.S. citizens, from which a person is randomly selected. Let A denote the event that the person is a member of a chess club and let B denote the event that the person is a woman. Consider the population of male U.S. citizens who are 30 years of age. A man is selected at random from this population. Let A age and let B denotes the event that his father went bald before reaching 40 years of age. Consider the population of students who attend high school in the U.S. A student is selected at random from this population. Let A denotes the event that the student speaks Spanish and let B denote the event that the student lives in Texas. Consider the population of months in the 20th century. A month is selected at random from this population. Let A denotes the event that a hurricane crossed the North Carolina coastline during this month and let B denote the event that it snowed in Denver. Colorado, during this month. Consider the population of hollywood feature films produced during the 20th century. A movie is selected at random from this population. Let A denote the event that the movie was filmed in color and let B denote the event that the movie is a western. Consider the population of U.S. college freshmen, from which a student is randomly selected. Let A denote the event that the student attends t he 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 earned a Ph.D. from an American university, from which one is randomly selected. Let A denote the event that the person's Ph.D. was earned before 1950 and let B denote the event that the person is female. 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. Consider the population of all couples who married in the United States in 1995. A couple is selected at random from this population. 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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