Two thousand randomly selected adults were asked if they are in favor of or against cloning. The following table gives the responses.

Males in favor Against No opinion

395 405 100

females 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?

Round final answers to four decimal places.

Part 1

a.Find the probability that this person is

i. P(in favor) =

ii. P(against) =

iii. P(in favor | female) =

iv. P(male | no opinion) =