1. What is wrong with the following statements? Please explain.

a. P(A) = 2.3

b. P(complement of A) = 0.7 given that P(A) = 0.7

c. P(A or B) = 1.0 if P(A) = 0.2 and P(B) = 0.5

d. P(A and B) = -.2

2. Given that P(A) = 0.42, P(B) = 0.50 and P(A and B) = 0.20, calculate the

following:

a. P(A or B)

b. P(the complement of B)

c. P(the complement of the event "A or B")

d. P(A|B)

e. P(B|A)

f. Are Events A and B independent? Please use probabilities to justify your

answer.