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Question 2 - Week 5 Practice | Prasnya
Q2
00:00
6 Apr 2026
Q2.
Let
X
1
,
X
2
,
X
3
,
X
4
X_1, X_2, X_3, X_4
X
1
,
X
2
,
X
3
,
X
4
be i.i.d. Normal random variables. Find the value of
P
(
3
X
1
+
X
2
+
2
X
3
+
3
X
4
≤
17
)
P(3X_1+X_2+2X_3+3X_4\le 17)
P
(
3
X
1
+
X
2
+
2
X
3
+
3
X
4
≤
17
)
.
A
1
−
Φ
Z
(
2
9
)
1-\Phi_Z\left(\dfrac{2}{9}\right)
1
−
Φ
Z
(
9
2
)
B
Φ
Z
(
8
9
)
\Phi_Z\left(\dfrac{8}{9}\right)
Φ
Z
(
9
8
)
C
Φ
Z
(
1
9
)
\Phi_Z\left(\dfrac{1}{9}\right)
Φ
Z
(
9
1
)
D
1
−
Φ
Z
(
1
9
)
1-\Phi_Z\left(\dfrac{1}{9}\right)
1
−
Φ
Z
(
9
1
)
Save
Check
Details
Q2
00:00
6 Apr 2026
Q2.
Let
X
1
,
X
2
,
X
3
,
X
4
X_1, X_2, X_3, X_4
X
1
,
X
2
,
X
3
,
X
4
be i.i.d. Normal random variables. Find the value of
P
(
3
X
1
+
X
2
+
2
X
3
+
3
X
4
≤
17
)
P(3X_1+X_2+2X_3+3X_4\le 17)
P
(
3
X
1
+
X
2
+
2
X
3
+
3
X
4
≤
17
)
.
A
1
−
Φ
Z
(
2
9
)
1-\Phi_Z\left(\dfrac{2}{9}\right)
1
−
Φ
Z
(
9
2
)
B
Φ
Z
(
8
9
)
\Phi_Z\left(\dfrac{8}{9}\right)
Φ
Z
(
9
8
)
C
Φ
Z
(
1
9
)
\Phi_Z\left(\dfrac{1}{9}\right)
Φ
Z
(
9
1
)
D
1
−
Φ
Z
(
1
9
)
1-\Phi_Z\left(\dfrac{1}{9}\right)
1
−
Φ
Z
(
9
1
)
Save
Check
Details
