148 3. For the following sets of events determine if they are independent. If th

Question

148 3. For the following sets of events determine if they are independent. If they are, write independent. If they are not, write dependent. a. A = a randomly selected student taking the bus to school, B-a randomly selected student being female b, A = a randomly selected subject being a Democrat, B-a randomly selected subject being a Republican. c. A-the first roll of a die coming up 6, B-the second roll of a die coming up 6 d. A = randomly selecting a college graduate, B = randomly selecting someone who is homeless.

Explanation / Answer

a. Independent, since the person taking a bus has no relation with being a female/male. Anyone can take a bus irrespective of the gender. So both are independent events.

b. Dependent, since the person who is Democratic cannot be a Republican and vice versa. Hence they are dependent events.

c. Independent for a fair dice, since the number appearing on the dice on the first roll is independent of that appearing on the second roll provided the dice is fair.

d. Independent, since being homeless has nothing to do with being a college graduate.

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