var(x) = E[(x - E(x))2]
= E[(x - E(x)) (x - E(x))] <-------------Expand into brackets
= E[x2 - xE(x) - xE(x) + (E(x))2] <---Simplify
= E[x2 - 2xE(x) + (E(x))2]
= E(x2) + E[-2xE(x)] + E[(E(x))2]
= E(x2) - 2E[xE(x)] + E[(E(x))2] <---Bring (-2) constant outside
= E(x2) - 2E(x)E[E(x)] + E[(E(x))2] <--- E[xE(x)] = E(x)E(x)
= E(x2) - 2E(x)E(x) + [E(x)]2 <----------E[E(x)] = E(x)
= E(x2) - 2[E(x)]2 + [E(x)]2
var(x) = E(x2) - [E(x)]2
The mathematician spent all day trying to derive the complex formula.
The answer depends on what information you have.
Area = 0.5*(sum of parallel sides)*height
Variance is a characteristic parameter of a probability distribution: it is not a statistic. In any particular situation (with a few strange exceptions) it has only one value and therefore cannot have any bias.
Favourable variance is that variance which is good for business while unfavourable variance is bad for business
var(X) = (xm/a - 1)2 a/a-2 . If a < or equal to 2, the variance does not exist.
b-a/6
Ozone layer has no formula. However there is a formula for ozone and that is O3.
The mathematician spent all day trying to derive the complex formula.
The answer depends on what information you have.
You calculate it using the appropriate formula, which, given the limitations of this site, is not easy to reproduce. However, you can easily Google the formula.
Classic IB student...
It is: 0.5*(sum of its parallel sides)*height
the Taylor series of sinx
Area = 0.5*(sum of parallel sides)*height
Variance is a characteristic parameter of a probability distribution: it is not a statistic. In any particular situation (with a few strange exceptions) it has only one value and therefore cannot have any bias.
I have NO idea what your asking but Sure :) You can.