Question 29 - Week 1 Practice | Prasnya
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Week 1
Question 29
00:00
Est. 3 min
Marks:
+3.00
0.00
Suppose
X
∼
Bernoulli
(
1
3
)
X\sim\operatorname{Bernoulli}(\frac{1}{3})
,
Y
∼
Bernoulli
(
1
2
)
Y\sim\operatorname{Bernoulli}(\frac{1}{2})
, and
Z
∼
Bernoulli
(
2
3
)
Z\sim\operatorname{Bernoulli}(\frac{2}{3})
such that
f
X
Y
Z
(
0
,
0
,
1
)
=
1
4
f_{XYZ}(0,0,1)=\frac{1}{4}
and
f
Z
∣
Y
=
1
(
0
)
=
1
3
f_{Z|Y=1}(0)=\frac{1}{3}
. Find the value of
f
X
∣
Y
=
0
,
Z
=
1
(
0
)
f_{X|Y=0,Z=1}(0)
. Enter the answer correct to two decimal places.
Integer answer
Hard Difficulty
29 October 2023
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