Find mean and variance of X from this discrete probability distribution.
X = x| -10 | -5 | 0 | 5 | 10 | 15
P(X = x)| .34 | .1 | .16 | .07 | .26 | .07
The statistic software output for this problem is :
x | P(x) | x * P(x) | x2 * P(x) |
-10 | 0.34 | -3.4 | 34 |
-5 | 0.1 | -0.5 | 2.5 |
0 | 0.16 | 0 | 0 |
5 | 0.07 | 0.35 | 1.75 |
10 | 0.26 | 2.6 | 26 |
15 | 0.07 | 1.05 | 15.75 |
Sum | 1 | 0.1 | 80 |
Mean = = X * P(X) = 0.1
Variance = 2
= X 2 * P(X) - 2
= 80 - 0.12
= 79.99
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