Question: A group of 2000 randomly selected adults were asked if they are in favor of or against cloning. The following table gives the responses.
ln Favor Against No Option
Male 395 405 100
Panic 300 680 120
a. If one person is selected at random from these 2000 adults, find the probability that this person is:
i. in favor of cloning
ii. against cloning
iii. in favor of cloning given the person is a female
iv. a male given the person has no opinion
b. Are the events "male" and "in favor" mutually exclusive? What about the events "in favor" and "against"? Why or why not?
c. Are the events "female" and "no opinion" independent? Why or why not?