compute the mean and variance of the following probability distribution
The mean can be calculated by:
- For each [x,P(x)] pair, multiply them together
- Sum all of these values
This gives you:
0.6 + 4.2 + 4.5 + 7.2
And the standard deviation can be calculated by:
- For each [x,P(x)] pair, multiply (x-mean)^2 by P(x)
- Sum all these values and take the square root
= (11.025 + 7.0875 + 0.5625 + 16.875)^0.5
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