The displayed observed rate is the exact count/time ratio. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Observed rate is detected counts over clock time
The observed rate is 8 counts over 12 seconds.
R obs = 8 / 12 Hz R_{\text{obs}}=8/12\ \text{Hz} R obs = 8/12 Hz Dead-time budget Detected counts reserve dead-time intervals. clock=12 s live=4 s rate=2 Hz clockTime=12 s deadTimeEach=1 s detectedCount=8 count deadTimeTotal=8 s liveTime=4 s observedRate=2/3 Hz
The fraction reduces without using a decimal
The exact rate is 2/3 hertz.
8 / 12 = 2 / 3 Hz 8/12=2/3\ \text{Hz} 8/12 = 2/3 Hz Dead-time budget Detected counts reserve dead-time intervals. clock=12 s live=4 s rate=2 Hz clockTime=12 s deadTimeEach=1 s detectedCount=8 count deadTimeTotal=8 s liveTime=4 s observedRate=2/3 Hz