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Mathematics
Problem
For a sample space
S
=
{
s
1
,
s
2
,
s
3
}
S=\{s_1,s_2,s_3\}
S
=
{
s
1
,
s
2
,
s
3
}
, a student assigns probabilities
P
(
s
1
)
=
0.4
P(s_1)=0.4
P
(
s
1
)
=
0.4
,
P
(
s
2
)
=
0.5
P(s_2)=0.5
P
(
s
2
)
=
0.5
and
P
(
s
3
)
=
0.3
P(s_3)=0.3
P
(
s
3
)
=
0.3
. Determine whether this assignment is valid and give a brief reason for your answer.
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