Answer:-
Given That:-
x | -3 | -2 | -1 | 0 | 1 |
P(X =x) | 0.1 | 0.1 | 0.2 | 0.3 | 0.3 |
Find the variance?
Input Field | Input Field | |||
X | P(X = x) | X*P(X = x) | X*X*P(x = x) | |
-3 | 0.1 | -0.3 | 0.9 | |
-2 | 0.1 | -0.2 | 0.4 | |
-1 | 0.2 | -0.2 | 0.2 | |
0 | 0.3 | 0 | 0 | |
1 | 0.3 | 0.3 | 0.3 | |
Total | -5 | 1 | -0.4 | 1.8 |
As sum of All probability is 1 so it is probability distribution
Mean of X =
=
= -0.4
Variance of X =
= 1.8 * -0.4 * -0.4
= 1.96
Variance of given data is 1.96
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