Question

Suppose that A and B are two events in a sample space S with P(B)=0.04, P(A n B)=0.03 and P(A u B) =0.46
a) what is P(B) complement
b)what is P(A)
c)what is P( AUB) complement
d)what is P(A/B)
e)what is P(A complement n B)
f)Are two events A and B independent? justify your answer.
g) Are two events A and B mutually exclusive? Justify your answer.

Answer 1

a)

b) Since

c)

d)

e)

f)

and

Since , so A and B are not independent.

f) Since , So A and B are not mutually exclusive.