Suppose that the probability that Phil sees his shadow is 0.80, Additionally, the

probability that spring comes early is 0.15. Finally, the probability that both Phil

sees his shadow and spring comes early is only 0.05.

If spring came early, what is the probability that Punxsutawney Phil did not see his shadow?

a) What is the probability that Punxsutawney Phil does not see his shadow and spring does not come early?

b) If Punxsutawney Phil sees his shadow, what is the probability that spring does not come

early?

c) If spring came early, what is the probability that Punxsutawney Phil did not see his shadow?

d) Are the events "Punxsutawney Phil sees his shadow" and "spring comes early" independent? Why or why not