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Mathematics
Mathematics
Problem
Suppose
P
(
C
)
=
9
20
P(C) = \frac{9}{20}
P
(
C
)
=
20
9
,
P
(
D
∣
C
)
=
1
4
P(D | C) = \frac{1}{4}
P
(
D
∣
C
)
=
4
1
, and
P
(
D
∣
C
′
)
=
1
5
P(D | C') = \frac{1}{5}
P
(
D
∣
C
′
)
=
5
1
. a. Find
P
(
D
)
P(D)
P
(
D
)
. b. Are
C
C
C
and
D
D
D
independent events? Justify your answer.
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