2.15 joint and conditional probabilities:  Given that P(A)=0.3 and P(B)=0.7, answer the following:
(please round all numerical answers to four decimal places)


a) Can you compute P(A and B) if you only know P(A) and P(B)? Why/why not?:

b) Assuming that A and B are independent, what is P(A and B)?
c) Assuming that A and B are independent, what is P(A or B)?
d) Assuming that A and B are independent, what is P(A|B)?
e) If we are given that P(A and B) = 0.1, are A and B independent? Why/why not?

f) If we are given that P(A and B) = 0.1, what is P(A|B)?