2170-2171 / 2239
Step 2:
Calculate the
expectation value
ξ
and the
variance
σ
2
of the temperature using that
probability density
p
(T)
5.2
1
( )d
d
2
T
T
x p x x
x x
∆
∆
ξ
∆
+∞
+
−∞
−
=
⋅
=
∫
∫
( )
2
2
2
1
(
)
d
(
) d
2
T
x
p x x
x T x
∆
∆
σ
ξ
∆
+∞
+
−∞
−
=
−
=
−
∫
∫
Expectation
value:
Variance:
T
=
2
1
3
∆
=
T
2
3
B
u
σ
∆
= =
Standard uncertainty:
84