The table shows the results of a survey in which 622 men and 644 women ages 25 to 46 were asked if they like Coke or Pepsi.
Men Women Total
Likes Pepsi 325 284 609
Likes Coke 297 360 657
Total 622 644 1266
(a) Find the probability that a randomly selected person likes Pepsi.
(b) Given that a randomly selected person is male, find the probability that the person likes coke.
(c) Given that a randomly selected person likes Pepsi, find the probability that the worker is a female.
(d) Are the events "likes Coke" and "being male" independent or dependent? Explain.