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

(e) 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.

(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 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.

(Note: You might need make some reasonable assumptions or use intuition, search for necessary background information online, or try to find data/numbers to do certain calculations when you work on this problem. There is one definite answer but there could be various approaches. Please provide sufficient justification.)