This is a closed-book, closed-notes quiz. Do not discuss this quiz with anyone but the instructor. A radiation counter is to be used to determine the radioactivity of a sample using the following procedure: 1. The detector is calibrated; its counting efficiency is found to be 5.09%, with negligible uncertainty. 2. The unknown sample is placed in the detector for 60 seconds; 5943 counts are registered. 3. The sample is removed and the counter is operated for 60 seconds; 298 counts are registered. (a) (2 points) Explain briefly how the counter is calibrated in Step 1. Answer:. (b) (3 points) What is the best estimate of the background count rate (in cps) and its standard uncertainty? (c) (3 points) What is the best estimate of the gross count rate (in cps) and its standard uncertainty? (c) (4 points) What is the best estimate of the sample activity (in Bq) and its standard uncertainty