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Given the distribution function of x and y, what can be said of the distribution of the product xy? The author has had two inquiries during the last two years, one from an investigator in business statistics and the other from a psychologist, concerning the probable error of the product of two quantities, each of known probable error. There seems to be very little in the literature of mathematical statistics on this question. If x and y are independent and are each distributed according to the same normal frequency law, it is well known that the distribution function of
C. C. Craig (Sun,) studied this question.