Dose 2016

5.2

Step 1:

Construct the a priority probability density p ( x ) for the temperature distribution:

)( =

ΔT x ΔT for + ≤ ≤ −

C xp

otherwise 0 )(

= xp

The integral must be unity. ( ) d p x x ∞ −∞ ∫

1

∞

∫

T

∆

+

2 C ∆ = ⋅

( )d p x x C x = ⋅

C

=

T

∆

−

2

∆

−∞

1

( ) 2 ( ) 0 otherwise p x T p x ∆ = = for

x

T

∆ − ≤

∆

≤ +

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