Miscellanea 
421 
go- 
so 
I 60- 
s 
S 50- 
30 
-10 12 3 
Number of Bidls drawn, 
Fig. 2. ©0® Theoretical Distribution of Black Balls in 210 draws of 4 balls out of a bag 
containing 4 white and (i black balls, i.e. terms of the hypergeonietrical series -F( -6, 1, 1). 
Continuous Line: T}pe II Frequency Curve 
,= 101.0«905 [l-(3.^3^^„)7'-"^^'\ 
The table below gives the theoretical frequencies deduced from this equation and the values 
given by Professor Edgeworth on p. 471 of his paper*. 
TABLE IV. 
Number of Black Balls drawn 
0 
1 
3 
4 
Totals 
Data 
I 
24 
90 
80 
15 
210 
Sum 
= 25 
Type II 
•677 
24-322 
90-6C9 
79-051 
15-036 
209-755 
Sum = 
24-999 
Professor Edgeworth' s curve, 
^ 
p. 471 
28-39 
! 
86-71 
76-56 
28-44 
220-10 
* Professor Edgeworth's are relative frequencies. These have been multiplied by 210 to obtain 
the entries in the table. 
