Abstract
As is well known, counting scales are widely used for counting many small machine parts. In this case however there is always an error in counting, so it is necessary for us to know the probability of miscount.
The present paper gives the exact definition of this probability and a method to calculate it.
There are three causes of miscount. They are the dispersion of part weight, the dispersion of balance and the error due to round-off. Their effects on miscount will become clear in this paper.
In the remaining part the author deals with the problem of independence of lot weight. If one judges that lot A is in equilibrium with lot B, then the weight of lot A is not independent of that of lot B. The weight distribution of lot A is necessary to calculate the probability of miscount in using a Roberval balance repeatedly. Introducing a function h(x|δ), the author obtains the distribution function.
