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Question 43 - Week 1 Practice | Prasnya
Q43
00:00
5 Jun 2022
Q43.
Let
X
X
X
be a discrete random variable with PMF
p
X
(
1
)
=
a
p_X(1)=a
p
X
(
1
)
=
a
,
p
X
(
2
)
=
b
p_X(2)=b
p
X
(
2
)
=
b
,
p
X
(
3
)
=
c
p_X(3)=c
p
X
(
3
)
=
c
,
p
X
(
4
)
=
0.3
p_X(4)=0.3
p
X
(
4
)
=
0.3
, and
0
0
0
otherwise. Its CDF is
F
X
(
x
)
=
0
F_X(x)=0
F
X
(
x
)
=
0
for
x
<
1
x<1
x
<
1
,
0.2
0.2
0.2
for
1
≤
x
<
2
1\le x<2
1
≤
x
<
2
,
0.6
0.6
0.6
for
2
≤
x
<
3
2\le x<3
2
≤
x
<
3
,
0.7
0.7
0.7
for
3
≤
x
<
4
3\le x<4
3
≤
x
<
4
, and
d
d
d
for
x
≥
4
x\ge4
x
≥
4
. Evaluate
a
+
b
+
c
+
d
a+b+c+d
a
+
b
+
c
+
d
.
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