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Byju's Answer
Standard XII
Mathematics
Probability Distribution
Find k such...
Question
Find
k
such that the function
P
(
x
)
=
⎧
⎨
⎩
k
(
4
x
)
;
x
=
0
,
1
,
2
,
3
,
4
,
k
>
0
0
;
o
t
h
e
r
w
i
s
e
is a probability mass function.
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Solution
As sum of all probabilities
=
1
⇒
R
(
4
C
0
+
4
C
1
+
4
C
2
+
4
C
3
+
4
C
4
)
=
1
=
R
(
1
+
4
+
6
+
4
+
1
)
=
1
⇒
R
(
16
)
=
1
⇒
R
=
1
16
.
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0
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