(b) Assume that a source is detected against a strong background (an examplewould be the case of mid-infrared observations made from the ground). Assumethat the number of counts detected on-source in time, At, is (S + B), and thenumber of counts detected from the background in the same interval (measuredfrom an adjacent patch of sky) is B.What is the variance on the difference between the two measurements? Hencecalculate the significance for a source detection (i.e., signal / standarddeviation) and show that in the case of high background relative to the sourcethis can be represented in terms of the source and background count rates (rsand r3, respectively) by:Ts VAt/2 TBSOB

Given: The number of counts detected o-source is S+B. The number of counts detected from the…

Answered: (b) Assume that a source is detected…

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