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The thermometer has a traceable calibration.
However this only says that the measured value is correct within an interval of
±
0.2
°
C. What is the underlying distribution??
5.2
All one can do is to
suppose
that there is a symmetric lower and upper bound of the
interval {
T
-
∆
,
T
+
∆
}, and that any value between this interval has an
equal probability
.
probability
density
T
-
T
+
T =
293.25 [K]
temperature
292
293
294
295
82