Dose 2016

5.2

Step 2:

Calculate the expectation value ξ and the variance σ 2 of the temperature using that probability density p (T)

T

∆

1

+∞

+

∫

∫

( )d x p x x ⋅

d x x

T

ξ

Expectation value:

=

=

=

2

∆

T

∆

−∞

−

1

T

∆

1

+∞

+

∫

∫

2

2

2

2

( ) p x x d

∆

(

)

( ) d x T x −

x

Variance:

σ

ξ

=

=

−

=

3

2

∆

T

∆

−∞

−

∆

2

σ = =

u

Standard uncertainty:

B

3

84