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IITM BS Week 5 Statistics 2 Questions | Prasnya
Statistics 2 > Week 5
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16Q
01
Find the value of
k
k
k
.
Comprehension
EASY
3 marks
10 May 2026
02
Find the value of
P
(
1
<
X
<
1.5
,
0
<
Y
<
2
)
P(1 < X < 1.5, \ 0 < Y < 2)
P
(
1
<
X
<
1.5
,
0
<
Y
<
2
)
. Enter the answer correct to two decimal places.
Comprehension
MEDIUM
3 marks
10 May 2026
03
Let
X
∼
Normal
(
2
,
16
)
X \sim \text{Normal}(2, 16)
X
∼
Normal
(
2
,
16
)
. Find the value of
P
(
X
2
<
81
)
P(X^2 < 81)
P
(
X
2
<
81
)
in terms of
F
Z
F_Z
F
Z
, where
F
Z
F_Z
F
Z
is the CDF of a standard normal variable
Z
Z
Z
.
Single correct
MEDIUM
3 marks
22 December 2024
04
Find the Marginal distribution of
X
X
X
.
Comprehension
MEDIUM
2 marks
22 December 2024
05
Are
X
X
X
and
Y
Y
Y
independent?
Comprehension
EASY
3 marks
22 December 2024
06
Are
X
X
X
and
Y
Y
Y
independent?
Comprehension
EASY
3 marks
01 September 2024
07
Find
P
(
X
>
0.6
∣
Y
=
0.5
)
P(X > 0.6 \mid Y = 0.5)
P
(
X
>
0.6
∣
Y
=
0.5
)
. Enter the answer correct to two decimal places.
Comprehension
MEDIUM
2 marks
01 September 2024
08
Using the Central Limit Theorem, find an approximate value for
P
(
190
<
Y
<
210
)
P(190 < Y < 210)
P
(
190
<
Y
<
210
)
. Enter the answer correct to two decimal places.
Comprehension
MEDIUM
3 marks
03 September 2023
09
Find the value of
k
k
k
.
Comprehension
EASY
2 marks
30 April 2023
10
Find the value of
P
(
X
+
Y
<
1
)
P(X + Y < 1)
P
(
X
+
Y
<
1
)
. Enter the answer correct to one decimal place.
Comprehension
MEDIUM
3 marks
30 April 2023
11
Find the value of
c
c
c
. Enter the answer correct to two decimal places.
Comprehension
EASY
1 marks
11 December 2022
12
What is the probability that the unit temperature change is equal to 0.5?
Comprehension
EASY
1 marks
11 December 2022
13
What is the probability that the unit pressure change during the chemical process is more than 0.5, given that the unit temperature change is equal to 0.5? Enter the answer correct to two decimal places.
Comprehension
MEDIUM
3 marks
11 December 2022
14
Find the marginal distribution of
Y
Y
Y
.
Comprehension
EASY
2 marks
07 August 2022
15
Compute
E
[
Y
]
E[Y]
E
[
Y
]
. Note: Enter the answer correct to two decimal places.
Comprehension
EASY
2 marks
07 August 2022
16
Compute
E
[
Y
∣
X
=
0.5
]
E[Y \mid X = 0.5]
E
[
Y
∣
X
=
0.5
]
. Note: Enter the answer correct to two decimal places.
Comprehension
EASY
1 marks
07 August 2022
Showing 16 questions.
Complete question index for this section:
Question 1 (comprehension):
Question 2 (comprehension):
Question 3 (single):
Question 4 (comprehension):
Question 5 (comprehension):
Question 6 (comprehension):
Question 7 (comprehension):
Question 8 (comprehension):
Question 9 (comprehension):
Question 10 (comprehension):
Question 11 (comprehension):
Question 12 (comprehension):
Question 13 (comprehension):
Question 14 (comprehension):
Question 15 (comprehension):
Question 16 (comprehension):
