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AP EAPCET 23-Aug-2021 Shift 2 Paper
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© examsnet.com
Question : 39
Total: 160
If the mean of a Poisson distribution is
1
3
, then the ration
P
(
X
=
1
)
:
P
(
X
=
2
)
is
1
:
2
3
:
1
1
:
6
6
:
1
Validate
Solution:
Given, Mean of Poisson distribution
=
1
3
For a Poisson distribution, the mean is equal to the parameter.
Hence, the parameter is
1
3
.
∴
P
(
X
=
1
)
=
e
−
1
3
(
1
3
)
1
1
!
=
e
−
1
3
(
1
3
)
P
(
X
=
2
)
=
e
−
1
3
(
1
3
)
2
2
!
∴
P
(
X
=
1
)
:
P
(
X
=
4
)
=
e
−
1
3
(
1
3
)
e
−
1
3
(
1
3
)
2
2
!
=
2
1
3
=
6
1
=
6
:
1
© examsnet.com
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