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Question 7 - Week 1 Practice | Prasnya
Q7
00:00
10 Jul 2022
Q7.
Consider a random variable
X
X
X
with the following PMF. Find the moment generating function of
X
X
X
.
A
M
X
(
λ
)
=
1
4
e
−
3
λ
+
1
8
e
−
2
λ
+
1
2
e
−
3
λ
M_X(\lambda)=\frac14e^{-3\lambda}+\frac18e^{-2\lambda}+\frac12e^{-3\lambda}
M
X
(
λ
)
=
4
1
e
−
3
λ
+
8
1
e
−
2
λ
+
2
1
e
−
3
λ
B
M
X
(
λ
)
=
1
8
+
1
4
e
λ
+
1
8
e
2
λ
+
1
2
e
2
λ
M_X(\lambda)=\frac18+\frac14e^\lambda+\frac18e^{2\lambda}+\frac12e^{2\lambda}
M
X
(
λ
)
=
8
1
+
4
1
e
λ
+
8
1
e
2
λ
+
2
1
e
2
λ
C
M
X
(
λ
)
=
1
8
+
1
4
e
λ
+
1
8
e
2
λ
+
1
2
e
3
λ
M_X(\lambda)=\frac18+\frac14e^\lambda+\frac18e^{2\lambda}+\frac12e^{3\lambda}
M
X
(
λ
)
=
8
1
+
4
1
e
λ
+
8
1
e
2
λ
+
2
1
e
3
λ
D
M
X
(
λ
)
=
1
8
e
λ
+
1
8
e
2
λ
+
1
2
e
3
λ
M_X(\lambda)=\frac18e^\lambda+\frac18e^{2\lambda}+\frac12e^{3\lambda}
M
X
(
λ
)
=
8
1
e
λ
+
8
1
e
2
λ
+
2
1
e
3
λ
Save
Check
Details
Q7
00:00
10 Jul 2022
Q7.
Consider a random variable
X
X
X
with the following PMF. Find the moment generating function of
X
X
X
.
A
M
X
(
λ
)
=
1
4
e
−
3
λ
+
1
8
e
−
2
λ
+
1
2
e
−
3
λ
M_X(\lambda)=\frac14e^{-3\lambda}+\frac18e^{-2\lambda}+\frac12e^{-3\lambda}
M
X
(
λ
)
=
4
1
e
−
3
λ
+
8
1
e
−
2
λ
+
2
1
e
−
3
λ
B
M
X
(
λ
)
=
1
8
+
1
4
e
λ
+
1
8
e
2
λ
+
1
2
e
2
λ
M_X(\lambda)=\frac18+\frac14e^\lambda+\frac18e^{2\lambda}+\frac12e^{2\lambda}
M
X
(
λ
)
=
8
1
+
4
1
e
λ
+
8
1
e
2
λ
+
2
1
e
2
λ
C
M
X
(
λ
)
=
1
8
+
1
4
e
λ
+
1
8
e
2
λ
+
1
2
e
3
λ
M_X(\lambda)=\frac18+\frac14e^\lambda+\frac18e^{2\lambda}+\frac12e^{3\lambda}
M
X
(
λ
)
=
8
1
+
4
1
e
λ
+
8
1
e
2
λ
+
2
1
e
3
λ
D
M
X
(
λ
)
=
1
8
e
λ
+
1
8
e
2
λ
+
1
2
e
3
λ
M_X(\lambda)=\frac18e^\lambda+\frac18e^{2\lambda}+\frac12e^{3\lambda}
M
X
(
λ
)
=
8
1
e
λ
+
8
1
e
2
λ
+
2
1
e
3
λ
Save
Check
Details
