If you roll an eight sided die and x is the outcomes, the probability distribution of x is
x |
P(x) |
1 |
1/8 |
2 |
1/8 |
3 |
|
4 |
|
5 |
|
6 |
|
7 |
|
8 |
Mean = x.p(x) =
Variance = x2.px-μ2 =
Standard deviation =
the necessary calculation table is :-
x | P(X) | x*P(x) | x2*P(x) |
1 | 1/8 =0.125 | 0.125 | 0.125 |
2 | 0.125 | 0.25 | 0.5 |
3 | 0.125 | 0.375 | 1.125 |
4 | 0.125 | 0.5 | 2 |
5 | 0.125 | 0.625 | 3.125 |
6 | 0.125 | 0.75 | 4.5 |
7 | 0.125 | 0.875 | 6.125 |
8 | 0.125 | 1 | 8 |
sum=4.5 | sum=25.5 |
mean ,variance and sd be:-
mean() | |
variance | |
standard deviation |
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