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Question 6 - Week 3 Practice | Prasnya
Q6
00:00
16 Mar 2025
Q6.
Let
X
∼
B
e
r
n
o
u
l
l
i
(
0.3
)
X\sim\mathrm{Bernoulli}(0.3)
X
∼
Bernoulli
(
0.3
)
. Find the MGF of the centered version of
X
X
X
.
A
0.3
e
t
+
0.7
0.3e^t+0.7
0.3
e
t
+
0.7
B
0.3
e
0.7
t
+
0.7
e
0.3
t
0.3e^{0.7t}+0.7e^{0.3t}
0.3
e
0.7
t
+
0.7
e
0.3
t
C
0.3
e
−
0.7
t
+
0.7
e
0.3
t
0.3e^{-0.7t}+0.7e^{0.3t}
0.3
e
−
0.7
t
+
0.7
e
0.3
t
D
0.3
e
0.7
t
+
0.7
e
−
0.3
t
0.3e^{0.7t}+0.7e^{-0.3t}
0.3
e
0.7
t
+
0.7
e
−
0.3
t
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Q6
00:00
16 Mar 2025
Q6.
Let
X
∼
B
e
r
n
o
u
l
l
i
(
0.3
)
X\sim\mathrm{Bernoulli}(0.3)
X
∼
Bernoulli
(
0.3
)
. Find the MGF of the centered version of
X
X
X
.
A
0.3
e
t
+
0.7
0.3e^t+0.7
0.3
e
t
+
0.7
B
0.3
e
0.7
t
+
0.7
e
0.3
t
0.3e^{0.7t}+0.7e^{0.3t}
0.3
e
0.7
t
+
0.7
e
0.3
t
C
0.3
e
−
0.7
t
+
0.7
e
0.3
t
0.3e^{-0.7t}+0.7e^{0.3t}
0.3
e
−
0.7
t
+
0.7
e
0.3
t
D
0.3
e
0.7
t
+
0.7
e
−
0.3
t
0.3e^{0.7t}+0.7e^{-0.3t}
0.3
e
0.7
t
+
0.7
e
−
0.3
t
Save
Check
Details
