ANSWERS 
TO, AND HINTS ON THE SOLUTION OF, THE EXERCISES GIVEN. 
CHAPTER IL 
1 26,287 (4B) 887 
(4) 2,308 (40) 374 
(B) 2,853 (BC) 353 
(0) 749 (4B0) 149 
(4B0C) 156 (aBC) 179 
(dBy) 431 (aBy) 1,249 
(480) 272 (aBO) 163 
(4B8y) 759 (aBy) 20,504 
3. The frequencies not given in the question itself are— 
(a) (4B) 107 (AC) 405 (BC) 525. 
(0) (4By) 22,980  (aBy) 13,585  (aBC) 96,478  (aBy) 28,868,495. 
: (45) (5) mtn). igs) 
(48) (8B) (AB) +(4B)” (B)+(B) 
: (4B) (4) : (4B) (4) 
that is By tet SB) -B) V-(d) 
(4B)_(4) 
that is (aB) > ay 
5. (4B)+(BC)~(B), i.e., the sum of the excesses of (4 B) and (BC) over (B)/2. 
8. 160. Take 4 = husband exceeding wife in first measurement, B = 
husband exceeding wife in second measuremen t, and find (aB). 
CHAPTER II. 
1. 80/263 or 304 per thousand. 
+ 55/85 or 65 per cent, 
32 per cent. and 30 per cent. 
4,117. 
5. 108. 
8. p3 (1-29), p<} (1429), i.e, p must lie between 0 and 1 (1-29) or 
between } (1+ 2¢) and 4. 
9. As a hint, remember the condition that— 
(BC)L(B)+(C)-N. 
1. 
2. 
39¢