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Mathematics
Mathematics
Problem
Suppose
P
(
A
)
=
2
5
P(A) = \frac{2}{5}
P
(
A
)
=
5
2
,
P
(
B
)
=
1
3
P(B) = \frac{1}{3}
P
(
B
)
=
3
1
, and
P
(
A
∪
B
)
=
1
2
P(A \cup B) = \frac{1}{2}
P
(
A
∪
B
)
=
2
1
. a. Find: -
P
(
A
∩
B
)
P(A \cap B)
P
(
A
∩
B
)
-
P
(
B
∣
A
)
P(B | A)
P
(
B
∣
A
)
-
P
(
A
∣
B
)
P(A | B)
P
(
A
∣
B
)
b. Are
A
A
A
and
B
B
B
independent events? Justify your answer.
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