In a far weaker region than the previously reported one, the pulsed X-ray intensity was possible to be measured using the afterpulse occurrence rate σ
A, the ratio of the afterpulse number N
A to the total X-ray irradiation number n. In the weak region, where the present paper describes, σ
A was regarded to satisfy such a condition as σ
A_??_1. The authors found out that, under such a condition, σ
A was described by a kind of GM counter response function for a pulsed X-ray. It was regarded that the afterpulse time distribution corresponded to the response function. By using this function, a formula σ
A±√σ
A/n was derived as the one which expresses the precision of σ
A.
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