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TS EAMCET 19-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 39
Total: 160
If two dice are thrown and if
X
denotes the sum of the numbers that show up on the faces of the dice then the mean of the random variable
X
is
27
4
35
6
41
3
7
Validate
Solution:
When two dices are thrown there are total 36 outcomes.
Here,
X
denotes the sum of the number that shows the faces of dice.
The sum of two dice can be
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
P
(
X
=
2
)
=
1
36
P
(
X
=
3
)
=
2
36
P
(
X
=
4
)
=
3
36
P
(
X
=
5
)
=
4
36
P
(
X
=
6
)
=
5
36
P
(
X
=
7
)
=
6
36
P
(
X
=
8
)
=
5
36
P
(
X
=
9
)
=
4
36
P
(
X
=
10
)
=
3
36
P
(
X
=
11
)
=
2
36
P
(
X
=
12
)
=
1
36
Mean
=
Σ
x
i
p
i
=
2
×
1
36
+
3
×
2
36
+
4
×
3
36
+
5
×
4
36
+
6
×
5
36
+
7
×
6
36
+
8
×
5
36
+
9
×
4
36
+
10
×
3
36
+
11
×
2
36
+
12
×
1
36
=
2
+
6
+
12
+
20
+
30
+
42
+
40
+
36
+
30
+
22
+
12
36
.
=
252
36
=
7
© examsnet.com
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