A thermometer has a reading uncertainty of 0.5 degrees Celsius. It is believed t

Question

A thermometer has a reading uncertainty of 0.5 degrees Celsius. It is believed that the uncertainty is triangular distributed in the interval [-0.5, 0.5].

a) What is the standard uncertainty in the temperature measurement with this thermometer? (The answer should be 0204)

b) What is the probability that uncertainty in a measurement is greater than 0.45? (The answer should be 0.1)

c) There are taken three independent measurements with this thermometer. What is the probability that one of the measurements uncertainty greater than 0.45? (The answer will be 0.0294).

Explanation / Answer

given uncertainity in reading is 0.5 degrees celsius

the probability that uncertainity in a measurement is greater than 0.45 is ( 0.5 - 0.45 ) / 0.5 = 0.05 / 0.5 = 0.1;

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