Question: A sample is counted for 10 min yielding 4500 counts. A 30 min background measurement yields 900 counts. a) Find the net counts rate of

A sample is counted for 10 min yielding 4500 counts. A 30 min background measurement yields 900 counts.
a) Find the net counts rate of the sample and the absolute and relative uncertainty (standard deviation) with a 95% confidence level.
b) What is the activity of the sample (with 95% confidence level) if the detector efficiency is 25%?
c) What will be the counting uncertainty if the same count rates will be measured with the 10 min counting time for background and 10 min for the sample?

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