The table below shows the probability distribution of X. Find V(X), that is, the variance of X, to three decimal places.
x | P(X = x) |
-1 | 0.08 |
2 | 0.1 |
6 | 0.3 |
10 |
0.52 |
Please help I am not sure where to begin and how to solve. This is a business analysis 2372 homework problem I got wrong and guessed on.
Mean = sum of (x*P(x))
= -1 * 0.08 +2*0.1 + 6 * 0.3 + 10 * 0.52
= 7.12
Variance = sum of (x - mean)^2 *P(x)
= (-1-7.12)^2 * 0.08 + (2-7.12)^2*0.1 +( 6-7.12)^2 * 0.3 +
(10-7.12)^2 * 0.52
= 12.586
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