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ºÝºÝߣShare a Scribd company logo
§©§Ñ§Õ§Ñ§é§Ú §Ü §ã§Ö§Þ§Ú§ß§Ñ§â§å 5
§²§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §³§ä§î§ð§Õ§Ö§ß§ä§Ñ, §¶§Ú§ê§Ö§â§Ñ, §±§Ú§â§ã§à§ß§Ñ. §¥§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Ö §Ú§ß§Ö§ä§â§Ó§Ñ§Ý§í
1. §¥§Ý§ñ §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Û §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ó§Ö§Ý§Ú§é§Ú§ß§í X §ß§Ñ§Û§Õ§Ú§ä§Ö §Ú§ß§ä§Ö§â§Ó§Ñ§Ý (a; b) §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à§Û §Õ§Ý§Ú§ß§í
§ä§Ñ§Ü§à§Û, §é§ä§à P(a < X < b) = 0.9545.
§°§ä§Ó§Ö§ä:(-2;2)
2. §¥§Ý§ñ §ã§Ý§å§é§Ñ§Û§ß§à§Û §Ó§Ö§Ý§Ú§é§Ú§ß§í X ¡« N(?; ¦Ò2
) §ß§Ñ§Û§Õ§Ú§ä§Ö §Ú§ß§ä§Ö§â§Ó§Ñ§Ý (a; b) §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à§Û §Õ§Ý§Ú§ß§í §ä§Ñ§Ü§à§Û,
§é§ä§à P(a < X??
¦Ò
< b) = 0.9973.
§°§ä§Ó§Ö§ä:(-3;3)
3. §±§å§ã§ä§î §ã§â§Ö§Õ§ß§Ö§Ö §Ù§ß§Ñ§é§Ö§ß§Ú§Ö §Ó§í§Ò§à§â§Ü§Ú §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú §â§Ñ§Ó§ß§à 130. §±§à-
§ã§ä§â§à§Û§ä§Ö 98% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ù§ß§Ñ§é§Ö§ß§Ú§ñ, §Ö§ã§Ý§Ú §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §â§Ñ§Ó§Ö§ß
130, §Ñ §Õ§Ú§ã§á§Ö§â§ã§Ú§ñ §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú §â§Ñ§Ó§ß§Ñ 12.
§°§ä§Ó§Ö§ä:(124.41;135.59)
4. §°§è§Ö§ß§Ü§Ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ù§ß§Ñ§é§Ö§ß§Ú§ñ §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ó§í§Ò§à§â§Ü§Ú §à§Ò§ì§Ö§Þ§Ñ n = 9 §â§Ñ§Ó§ß§Ñ 24, §Ñ §à§è§Ö§ß§Ü§Ñ §Õ§Ú§ã§á§Ö§â§ã§Ú§Ú
§â§Ñ§Ó§ß§Ñ 36. §±§à§ã§ä§â§à§Ú§ä§î 95% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ù§ß§Ñ§é§Ö§ß§Ú§ñ.
§°§ä§Ó§Ö§ä:(19.4;28.6)
5. §¥§Ý§ñ §Ó§í§Ò§à§â§Ü§Ú 13, 17, 18, 15, 18, 15 §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú §á§à§ã§ä§â§à§Ú§ä§î
95% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à.
§°§ä§Ó§Ö§ä:(13.9;18.1)
6. §¥§Ñ§ß§Ñ §Ó§í§Ò§à§â§Ü§Ñ §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã §ß§Ö§Ú§Ù§Ó§Ö§ã§ä§ß§í§Þ §ã§â§Ö§Õ§ß§Ú§Þ §Ú §Õ§Ú§ã§á§Ö§â§ã§Ú§Ö§Û: 4, 1,
3, 6, 2, 2.
§Ñ) §¯§Ñ§Û§ä§Ú §à§è§Ö§ß§Ü§å §Þ§Ö§Õ§Ú§Ñ§ß§í §ï§ä§à§Û §Ó§í§Ò§à§â§Ü§Ú;
§Ò) §ß§Ñ§Û§ä§Ú §ã§â§Ö§Õ§ß§Ö§Ö §Ù§ß§Ñ§é§Ö§ß§Ú§Ö §ï§ä§à§Û §Ó§í§Ò§à§â§Ü§Ú;
§Ó) §ß§Ñ§Û§ä§Ú §à§è§Ö§ß§Ü§å §Õ§Ú§ã§á§Ö§â§ã§Ú§Ú;
§Ô) §±§à§ã§ä§â§à§Ú§ä§î 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ù§ß§Ñ§é§Ö§ß§Ú§ñ §ï§ä§à§Û §Ó§í§Ò§à§â§Ü§Ú.
§°§ä§Ó§Ö§ä: 11. §Ñ) 2, 5; §Ò) 3; §Ó) 9; §Ô) (2, 92; 3, 08).
7. §ª§Ù §á§â§Ö§Õ§í§Õ§å§ë§Ú§ç §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Û §Ú§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §Þ§Ö§ã§ñ§é§ß§í§Û §Õ§à§ç§à§Õ §á§â§Ö§á§à§Õ§Ñ§Ó§Ñ§ä§Ö§Ý§Ö§Û §Ô§à§â§à§Õ§Ñ N
§Ú§Þ§Ö§Ö§ä §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §ã§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§í§Þ §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö§Þ 200 §å.§Ö. §°§á§â§à§ê§Ö§ß§à §ã§Ý§å-
§é§Ñ§Û§ß§í§Þ §à§Ò§â§Ñ§Ù§à§Þ 100 §á§â§Ö§á§à§Õ§Ñ§Ó§Ñ§ä§Ö§Ý§Ö§Û. §ª§ç §ã§â§Ö§Õ§ß§Ú§Û §Õ§à§ç§à§Õ §ã§à§ã§ä§Ñ§Ó§Ú§Ý 1500 §å.§Ö. §¯§Ñ§Û§ä§Ú 95%-§í§Û
§Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Þ§Ö§ã§ñ§é§ß§à§Ô§à §Õ§à§ç§à§Õ§Ñ §á§â§Ö§á§à§Õ§Ñ§Ó§Ñ§ä§Ö§Ý§Ö§Û §Ô§à§â§à§Õ§Ñ N.
§°§ä§Ó§Ö§ä:(1460.8;1539.2)
8. §ª§Ù §á§â§Ö§Õ§í§Õ§å§ë§Ú§ç §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Û §Ú§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §Þ§Ö§ã§ñ§é§ß§í§Û §Õ§à§ç§à§Õ §á§â§Ö§á§à§Õ§Ñ§Ó§Ñ§ä§Ö§Ý§Ö§Û §Ô§à§â§à§Õ§Ñ N
§Ú§Þ§Ö§Ö§ä §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §ã§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§í§Þ §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö§Þ 200 §å.§Ö. §°§á§â§à§ê§Ö§ß§à §ã§Ý§å-
§é§Ñ§Û§ß§í§Þ §à§Ò§â§Ñ§Ù§à§Þ 100 §á§â§Ö§á§à§Õ§Ñ§Ó§Ñ§ä§Ö§Ý§Ö§Û. §ª§ç §ã§â§Ö§Õ§ß§Ú§Û §Õ§à§ç§à§Õ §ã§à§ã§ä§Ñ§Ó§Ú§Ý 1500 §å.§Ö. §°§á§â§Ö§Õ§Ö§Ý§Ú§ä§Ö
§Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à §ß§Ö§à§Ò§ç§à§Õ§Ú§Þ§í§Û §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §Õ§Ý§ñ §á§à§ã§ä§â§à§Ö§ß§Ú§ñ 95% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§à§Ô§à §Ú§ß§ä§Ö§â§Ó§Ñ§Ý§Ñ
§Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Õ§Ý§Ú§ß§í 20.
§°§ä§Ó§Ö§ä: 75
1
9. §µ §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§Ñ §Ü§à§ß§ä§â§à§Ý§î§ß§à§Û §ã§Ö§â§Õ§è§Ö §Ò§î§×§ä§ã§ñ §ã§à §ã§Ü§à§â§à§ã§ä§î§ð 96 §å§Õ§Ñ§â§à§Ó §Ó §Þ§Ú§ß§å§ä§å. §ª§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à
§ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 15 §å§Õ§Ñ§â§Ñ§Þ §Ó §Þ§Ú§ß§å§ä§å. §°§á§â§Ö§Õ§Ö§Ý§Ú§ä§Ö §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à §ß§Ö§à§Ò§ç§à§Õ§Ú§Þ§í§Û
§à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §Õ§Ý§ñ §à§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §ã §ß§Ñ§Õ§×§Ø§ß§à§ã§ä§î§ð 98% §Ú §ä§à§é§ß§à§ã§ä§î§ð 1.
§°§ä§Ó§Ö§ä:162
10. §µ 20 §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§Ñ §Ü§à§ß§ä§â§à§Ý§î§ß§à§Û §ã§Ö§â§Õ§è§Ö §Ò§Ú§Ý§à§ã§î §ã§à §ã§Ü§à§â§à§ã§ä§î§ð 96 §å§Õ§Ñ§â§à§Ó §Ó §Þ§Ú§ß§å§ä§å. §ª§Ù§Ó§Ö§ã§ä§ß§à,
§é§ä§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 5 §å§Õ§Ñ§â§Ñ§Þ §Ó §Þ§Ú§ß§å§ä§å. §¯§Ñ§Û§ä§Ú 98% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý
§Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à.
§°§ä§Ó§Ö§ä:(93.4;98.6)
11. §£§í§Ò§à§â§à§é§ß§í§Û §à§á§â§à§ã 80 §ã§ä§å§Õ§Ö§ß§ä§à§Ó §á§à§Ü§Ñ§Ù§Ñ§Ý, §é§ä§à 24 §Ú§Ù §ß§Ú§ç §ß§Ö §á§à§Õ§Õ§Ö§â§Ø§Ú§Ó§Ñ§ð§ä §Ó§Ó§Ö§Õ§Ö§ß§Ú§Ö §Õ§Ó§å§ç-
§Ò§Ñ§Ý§Ý§î§ß§à§Û §ã§Ú§ã§ä§Ö§Þ§í §ï§Ü§Ù§Ñ§Þ§Ö§ß§Ñ§è§Ú§à§ß§ß§à§Û §à§è§Ö§ß§Ü§Ú: "§·§°§²§°§º§°" §Ú "§°§´§­§ª§¹§¯§°". §¯§Ñ§Û§ä§Ú 96%-§í§Û
§Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §æ§Ñ§Ü§ä§Ú§é§Ö§ã§Ü§à§Û §Õ§à§Ý§Ú §ã§ä§å§Õ§Ö§ß§ä§à§Ó, §á§à§Õ§Õ§Ö§â§Ø§Ú§Ó§Ñ§ð§ë§Ú§ç §ï§ä§à §ß§à§Ó§à-
§Ó§Ó§Ö§Õ§Ö§ß§Ú§Ö.
§°§ä§Ó§Ö§ä: (0.194;0.406)
12. §°§á§â§à§ã 100 §Ú§ß§à§Ô§à§â§à§Õ§ß§Ú§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §á§à§Ü§Ñ§Ù§Ñ§Ý, §é§ä§à 73 §Ú§Ù §ß§Ú§ç §Ø§Ú§Ó§å§ä §Ó §à§Ò§ë§Ö§Ø§Ú§ä§Ú§Ú, §Ñ §à§ã§ä§Ñ§Ý§î-
§ß§í§Ö §ã§ß§Ú§Þ§Ñ§ð§ä §Ü§Ó§Ñ§â§ä§Ú§â§í. §¯§Ñ§Û§Õ§Ú§ä§Ö 94%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §æ§Ñ§Ü§ä§Ú§é§Ö§ã§Ü§à§Û §Õ§à§Ý§Ú
§Ú§ß§à§Ô§à§â§à§Õ§ß§Ú§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó, §Ü§à§ä§à§â§í§Ö §ã§ß§Ú§Þ§Ñ§ð§ä §Ü§Ó§Ñ§â§ä§Ú§â§í.
§°§ä§Ó§Ö§ä: (0.647;0.813)
13. §±§à§ã§ä§â§à§Û§ä§Ö 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ô§à §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§ñ, §Ö§ã§Ý§Ú §Ó§í§Ò§à§â§à§é§ß§Ñ§ñ
§Õ§Ú§ã§á§Ö§â§ã§Ú§ñ §â§Ñ§Ó§ß§Ñ 625, §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §â§Ñ§Ó§Ö§ß 19.
§°§ä§Ó§Ö§ä:(19.74;34.61)
14. §¯§Ñ§Û§Õ§Ú§ä§Ö 96% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §Õ§Ú§ã§á§Ö§â§ã§Ú§Ú §á§à §Ó§í§Ò§à§â§Ü§Ö §à§Ò§ì§Ö§Þ§Ñ n = 18, §Ö§ã§Ý§Ú
§Ó§í§Ò§à§â§à§é§ß§à§Ö §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 10.
§°§ä§Ó§Ö§ä:(55;234)
15. §±§à §â§Ö§Ù§å§Ý§î§ä§Ñ§ä§Ñ§Þ §à§Ò§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§ñ §Ò§í§Ý§Ñ §à§è§Ö§ß§Ö§ß§Ñ §Õ§à§Ý§ñ §Ý§ð§Õ§Ö§Û, §ã§ä§â§Ñ§Õ§Ñ§ð§ë§Ú§ç §ã§Ö§â§Õ§Ö§é§ß§à-§ã§à§ã§å§Õ§Ú§ã§ä§í§Þ§Ú
§Ù§Ñ§Ò§à§Ý§Ö§Ó§Ñ§ß§Ú§ñ§Þ§Ú §Ú §á§à§Ý§å§é§Ö§ß §ã§Ú§Þ§Þ§Ö§ä§â§Ú§é§ß§í§Û 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý (0.11;0.15). §¬§Ñ§Ü§à§Û
§à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §á§â§Ú §ï§ä§à§Þ §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§Ý§ã§ñ?
§°§ä§Ó§Ö§ä: 770
16. §¯§Ñ§Û§ä§Ú §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§í§Û §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú, §á§â§Ú §Ü§à§ä§à§â§à§Þ §ã §ß§Ñ§Õ§×§Ø§ß§à§ã§ä§î§ð 0.975 §ä§à§é§ß§à§ã§ä§î §à§è§Ö§ß§Ü§Ú
§Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ô§à §à§Ø§Ú§Õ§Ñ§ß§Ú§ñ §á§à §Ó§í§Ò§à§â§à§é§ß§à§Þ§å §ã§â§Ö§Õ§ß§Ö§Þ§å §â§Ñ§Ó§ß§Ñ 0.3, §Ö§ã§Ý§Ú §Ú§Ù§Ó§Ö§ã§ä§ß§à §ã§â§Ö§Õ§ß§Ö§Ö
§Ü§Ó§Ñ§Õ§â§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö ¦Ò = 1.2 §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú.
§°§ä§Ó§Ö§ä: n = 81.
17. §°§è§Ö§ß§Ú§ä§Ö §à§Ò§ì§×§Þ §Ó§í§Ò§à§â§Ü§Ú, §Ü§à§ä§à§â§í§Û §ß§Ö§à§Ò§ç§à§Õ§Ú§Þ §Õ§Ý§ñ §á§à§ã§ä§â§à§Ö§ß§Ú§Ö 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§à§Ô§à §Ú§ß§ä§Ö§â-
§Ó§Ñ§Ý§Ñ §Õ§Ý§ñ §Õ§à§Ý§Ú §Õ§Ý§Ú§ß§í 0.02.
§°§ä§Ó§Ö§ä:6765
18. §±§à §Ó§í§Ò§à§â§Ü§Ö §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã §Ú§Ù§Ó§Ö§ã§ä§ß§à§Û §Õ§Ú§ã§á§Ö§â§ã§Ú§Ö§Û ¦Ò2
§á§à§ã§ä§â§à§Û§ä§Ö §à§Õ§ß§à§ã§ä§à-
§â§à§ß§ß§Ú§Û 95% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§Ú§Õ§Ñ (¦È; +¡Þ).
19. §±§à §Ó§í§Ò§à§â§Ü§Ö §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã §Ú§Ù§Ó§Ö§ã§ä§ß§à§Û §Õ§Ú§ã§á§Ö§â§ã§Ú§Ö§Û ¦Ò2
§á§à§ã§ä§â§à§Û§ä§Ö §à§Õ§ß§à§ã§ä§à-
§â§à§ß§ß§Ú§Û 99% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§Ú§Õ§Ñ (?¡Þ; ¦È).
2
§¡§ß§Ñ§Ý§à§Ô§Ú§é§ß§í§Ö §å§á§â§Ñ§Ø§ß§Ö§ß§Ú§ñ §Ú§Ù §á§à§ã§à§Ò§Ú§ñ §ª§Ó§Ñ§ß§à§Ó §°.§£. §³§ä§Ñ§ä§Ú§ã§ä§Ú§Ü§Ñ / §µ§é§Ö§Ò§ß§í§Û §Ü§å§â§ã
§Õ§Ý§ñ §ã§à§è§Ú§à§Ý§à§Ô§à§Ó §Ú §Þ§Ö§ß§Ö§Õ§Ø§Ö§â§à§Ó. §¹§Ñ§ã§ä§î 2. §¥§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Ö §Ú§ß§ä§Ö§â§Ó§Ñ§Ý§í. §±§â§à§Ó§Ö§â§Ü§Ñ
§Ô§Ú§á§à§ä§Ö§Ù. §®§Ö§ä§à§Õ§í §Ú §Ú§ç §á§â§Ú§Þ§Ö§ß§Ö§ß§Ú§Ö. ¨C §®. 2005. ¨C 220 §ã.
1. §ª§Ù §á§â§Ö§Õ§í§Õ§å§ë§Ú§ç §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Û §Ú§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §Þ§Ö§ã§ñ§é§ß§í§Û §Õ§à§ç§à§Õ §ã§ä§å§Õ§Ö§ß§ä§à§Ó §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ñ §Ú§Þ§Ö-
§Ö§ä §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §ã§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§í§Þ §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö§Þ 60. §°§á§â§à§ê§Ö§ß§à §ã§Ý§å§é§Ñ§Û§ß§í§Þ §à§Ò-
§â§Ñ§Ù§à§Þ 225 §é§Ö§Ý§à§Ó§Ö§Ü. §ª§ç §ã§â§Ö§Õ§ß§Ú§Û §Õ§à§ç§à§Õ §ã§à§ã§ä§Ñ§Ó§Ú§Ý 310. §¯§Ñ§Û§ä§Ú 95%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â-
§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Þ§Ö§ã§ñ§é§ß§à§Ô§à §Õ§à§ç§à§Õ§Ñ §Ó§ã§Ö§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ñ.
2. §¥§Ý§ñ §ã§Ý§å§é§Ñ§Û§ß§à §à§ä§à§Ò§â§Ñ§ß§ß§í§ç 16 §ã§ä§å§Õ§Ö§ß§ä§à§Ó §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ñ §ã§â§Ö§Õ§ß§Ú§Û §Ó§à§Ù§â§Ñ§ã§ä §ã§à§ã§ä§Ñ§Ó§Ú§Ý 23 §Ô§à§Õ§Ñ.
§¯§Ñ§Û§ä§Ú 95%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Ô§à §ã§â§Ö§Õ§ß§Ö§Ô§à, §Ö§ã§Ý§Ú §Ú§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à:
§Ñ) §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §Ó§à§Ù§â§Ñ§ã§ä§à§Ó §Ó§ã§Ö§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §ã§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§í§Þ §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö§Þ 0,6.
§Ò) §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §Ó§à§Ù§â§Ñ§ã§ä§à§Ó §Ó§ã§Ö§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö, §ß§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §Ô§Ö§ß§Ö-
§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú §ß§Ö§Ú§Ù§Ó§Ö§ã§ä§ß§à, §Ñ §Ó§í§Ò§à§â§à§é§ß§à§Ö §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 0,6.
3. §³§â§Ö§Õ§ß§Ú§Û §Ó§à§Ù§â§Ñ§ã§ä 12-§ä§Ú §Ñ§ã§ã§Ú§ã§ä§Ö§ß§ä§à§Ó §Ó §Ü§â§å§á§ß§à§Þ §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ö §à§Ü§Ñ§Ù§Ñ§Ý§ã§ñ §â§Ñ§Ó§Ö§ß 26,8 §Ô§à§Õ§Ñ.
§³§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §Ó§í§Ò§à§â§Ü§Ú 4,8 §Ô§à§Õ§Ñ. §¯§Ñ§Û§Õ§Ú§ä§Ö 95%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ
§ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§à§Ù§â§Ñ§ã§ä§Ñ §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú, §ã§à§ã§ä§à§ñ§ë§Ö§Û §Ú§Ù §Ó§ã§Ö§ç §Ñ§ã§ã§Ú§ã§ä§Ö§ß§ä§à§Ó §ï§ä§à§Ô§à §å§ß§Ú-
§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ñ.
4. §£ §à§Õ§ß§à§Û §Ô§à§â§à§Õ§ã§Ü§à§Û §Þ§Ö§ã§ä§ß§à§ã§ä§Ú §Õ§Ý§ñ §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§ñ §Ò§í§Ý§à §ã§Ý§å§é§Ñ§Û§ß§à §à§ä§à§Ò§â§Ñ§ß§à 5 §Þ§Ö§ã§ñ§è§Ö§Ó. §°§Ü§Ñ§Ù§Ñ-
§Ý§à§ã§î, §é§ä§à §Ó §ã§â§Ö§Õ§ß§Ö§Þ §Ó §Ü§Ñ§Ø§Õ§í§Û §Ú§Ù §ß§Ú§ç §ã§à§Ò§Ñ§Ü§Ú §Ü§å§ã§Ñ§ð§ä 28 §á§à§é§ä§Ñ§Ý§î§à§ß§à§Ó. §³§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à-
§ß§Ö§ß§Ú§Ö §á§à §Ó§í§Ò§à§â§Ü§Ö §â§Ñ§Ó§ß§à 3. §¯§Ñ§Û§Õ§Ú§ä§Ö 90%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §é§Ú§ã§Ý§Ñ
§á§à§é§ä§Ñ§Ý§î§à§ß§à§Ó, §Ö§Ø§Ö§Þ§Ö§ã§ñ§é§ß§à §ã§ä§â§Ñ§Õ§Ñ§ð§ë§Ö§Ô§à §à§ä §å§Ü§å§ã§à§Ó §ã§à§Ò§Ñ§Ü.
5. §¯§Ö§Õ§Ñ§Ó§ß§Ö§Ö §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Ö, §á§â§à§Ó§Ö§Õ§Ö§ß§ß§à§Ö §ã§â§Ö§Õ§Ú 150 §ã§ä§å§Õ§Ö§ß§ä§à§Ó, §Ó§í§ñ§Ó§Ú§Ý§à, §é§ä§à 86 §Ú§Ù §ß§Ú§ç §Õ§à§Ò§Ú-
§â§Ñ§ð§ä§ã§ñ §Õ§à §å§ß§Ú§Ó§Ö§â§ã§Ú§ä§Ö§ä§Ñ §ß§Ñ §à§Ò§ë§Ö§ã§ä§Ó§Ö§ß§ß§à§Þ §ä§â§Ñ§ß§ã§á§à§â§ä§Ö. §¯§Ñ§Û§Õ§Ú§ä§Ö 95%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û
§Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §æ§Ñ§Ü§ä§Ú§é§Ö§ã§Ü§à§Û §Õ§à§Ý§Ú §ä§Ñ§Ü§Ú§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó.
6. §ª§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Ö 200 §ß§Ö§ã§é§Ñ§ã§ä§ß§í§ç §ã§Ý§å§é§Ñ§Ö§Ó, §á§â§Ú §Ü§à§ä§à§â§í§ç §ä§â§Ö§Ò§à§Ó§Ñ§Ý§Ñ§ã§î §ã§â§à§é§ß§Ñ§ñ §Þ§Ö§Õ§Ú§è§Ú§ß§ã§Ü§Ñ§ñ
§á§à§Þ§à§ë§î, §Ó§í§ñ§Ó§Ú§Ý§à, §é§ä§à 40% §Ú§Ù §ß§Ú§ç §á§â§à§Ú§Ù§à§ê§Ý§à §ã §Ý§ð§Õ§î§Þ§Ú §å §ß§Ú§ç §Õ§à§Þ§Ñ. §¯§Ñ§Û§Õ§Ú§ä§Ö 90%-§í§Û §Õ§à-
§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §Õ§Ö§Û§ã§ä§Ó§Ú§ä§Ö§Ý§î§ß§à§Û §Õ§à§Ý§Ú §ß§Ö§ã§é§Ñ§ã§ä§ß§í§ç §ã§Ý§å§é§Ñ§Ö§Ó, §Ü§à§ä§à§â§í§Ö §ã§Ý§å§é§Ñ§ð§ä§ã§ñ
§Õ§à§Þ§Ñ.
7. §°§Ô§â§Ñ§ß§Ú§é§Ö§ß§Ú§Ö §Ó§Ý§Ñ§ã§ä§Ú §á§â§Ñ§Ó§Ú§ä§Ö§Ý§î§ã§ä§Ó§Ñ. §±§à§Ý§Ú§ä§Ú§é§Ö§ã§Ü§Ú§Û §Ñ§ß§Ñ§Ý§Ú§ä§Ú§Ü §Ó§í§ñ§Ó§Ú§Ý, §é§ä§à 60% §Ú§Ù 300 §é§Ö-
§Ý§à§Ó§Ö§Ü, §Ô§à§Ý§à§ã§å§ð§ë§Ú§ç §Ù§Ñ §Õ§Ö§Þ§à§Ü§â§Ñ§ä§à§Ó, §ã§é§Ú§ä§Ñ§ð§ä, §é§ä§à §å §æ§Ö§Õ§Ö§â§Ñ§Ý§î§ß§à§Ô§à §á§â§Ñ§Ó§Ú§ä§Ö§Ý§î§ã§ä§Ó§Ñ §ã§Ý§Ú§ê§Ü§à§Þ
§Þ§ß§à§Ô§à §Ó§Ý§Ñ§ã§ä§Ú. §¯§Ñ§Û§Õ§Ú§ä§Ö 95%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §Õ§à§Ý§Ú §ä§Ö§ç, §Ü§ä§à §Ô§à§Ý§à-
§ã§å§Ö§ä §Ù§Ñ §Õ§Ö§Þ§à§Ü§â§Ñ§ä§à§Ó §Ú §á§â§Ú§Õ§Ö§â§Ø§Ú§Ó§Ñ§Ö§ä§ã§ñ §ï§ä§à§Ô§à §Þ§ß§Ö§ß§Ú§ñ.
8. §¥§Ú§Ö§ä§à§Ý§à§Ô §ç§à§é§Ö§ä §à§á§â§Ö§Õ§Ö§Ý§Ú§ä§î §ã §Þ§Ñ§Ü§ã§Ú§Þ§Ñ§Ý§î§ß§à§Û §à§ê§Ú§Ò§Ü§à§Û §Ó 2% §Õ§à§Ý§ð §Ý§ð§Õ§Ö§Û, §Ü§à§ä§à§â§í§Ö §Ö§Õ§ñ§ä
§á§Ö§â§Ö§Õ §ã§ß§à§Þ. §¬§Ñ§Ü§à§Ó §Õ§à§Ý§Ø§Ö§ß §Ò§í§ä§î §â§Ñ§Ù§Þ§Ö§â §Ó§í§Ò§à§â§Ü§Ú, §Ö§ã§Ý§Ú §à§ß §ç§à§é§Ö§ä §Ò§í§ä§î §ß§Ñ 95% §å§Ó§Ö§â§Ö§ß §Ó §ä§à§Þ,
§é§ä§à §Ö§Ô§à §à§è§Ö§ß§Ü§Ñ §ã§à§Õ§Ö§â§Ø§Ú§ä §Ù§ß§Ñ§é§Ö§ß§Ú§Ö §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §Õ§à§Ý§Ú? §±§â§Ö§Õ§í§Õ§å§ë§Ö§Ö §Ú§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§Ö §Ó§í§ñ§Ó§Ú§Ý§à,
§é§ä§à 18% §à§á§â§à§ê§Ö§ß§ß§í§ç §ã§Ü§Ñ§Ù§Ñ§Ý§Ú, §é§ä§à §à§ß§Ú §Ö§Õ§ñ§ä §á§Ö§â§Ö§Õ §ã§ß§à§Þ.
3
9. §¥§Ý§ñ §à§ä§â§Ñ§ã§Ý§Ú, §Ó§Ü§Ý§ð§é§Ñ§ð§ë§Ö§Û 1200 §æ§Ú§â§Þ, §ã§à§ã§ä§Ñ§Ó§Ý§Ö§ß§Ñ §ã§Ý§å§é§Ñ§Û§ß§Ñ§ñ §Ó§í§Ò§à§â§Ü§Ñ §Ú§Ù 19 §æ§Ú§â§Þ. §±§à
§Ó§í§Ò§à§â§Ü§Ö §à§Ü§Ñ§Ù§Ñ§Ý§à§ã§î, §é§ä§à §ã§â§Ö§Õ§ß§Ö§Ö §Ü§Ó§Ñ§Õ§â§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §Õ§Ý§ñ §é§Ú§ã§Ý§Ñ §â§Ñ§Ò§à§ä§Ñ§ð§ë§Ú§ç §ß§Ñ
§æ§Ú§â§Þ§Ö §ã§à§ã§ä§Ñ§Ó§Ý§ñ§Ö§ä 25 §é§Ö§Ý§à§Ó§Ö§Ü. §±§à§ã§ä§â§à§Ú§ä§î 90%-§ß§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à
§Ü§Ó§Ñ§Õ§â§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ô§à §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§ñ §é§Ú§ã§Ý§Ñ §â§Ñ§Ò§à§ä§Ñ§ð§ë§Ú§ç §ß§Ñ §æ§Ú§â§Þ§Ö §á§à §Ó§ã§Ö§Û §à§ä§â§Ñ§ã§Ý§Ú.
10. §ª§ã§ã§Ý§Ö§Õ§à§Ó§Ñ§ä§Ö§Ý§î §ç§à§é§Ö§ä §å§Ù§ß§Ñ§ä§î, §ã§Ü§à§Ý§î§Ü§à §Ó§â§Ö§Þ§Ö§ß§Ú §ã§ä§å§Õ§Ö§ß§ä§í §ä§â§Ñ§ä§ñ§ä §ß§Ñ §Ú§ß§ä§Ö§â§ß§Ö§ä. §°§á§â§à§ã 15
§ã§Ý§å§é§Ñ§Û§ß§à §Ó§í§Ò§â§Ñ§ß§ß§í§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §Õ§Ñ§Ý §ã§Ý§Ö§Õ§å§ð§ë§Ú§Û §â§Ö§Ù§å§Ý§î§ä§Ñ§ä (§Ó §Þ§Ú§ß§å§ä§Ñ§ç):
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
80 60 95 65 95 53 62 71 59 49 71 81 76 94 85
§±§à§ã§ä§â§à§Ú§ä§î 98% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§â§Ö§Þ§Ö§ß§Ú.
§°§ä§Ó§Ö§ä§í: 1. (302, 2; 317, 8); 2. §Ñ) (22, 7; 23, 3), §Ò) (22, 68; 23, 32); 3. (23, 8; 29, 8); 4. (25, 1; 30, 9);
5. (49, 4%; 65, 2%); 6. (34, 3%; 45, 7%); 7. (54, 5%; 65, 5%); 8. §Ò§à§Ý§î§ê§Ö 1418; 9. (19, 74; 34, 61); 10.
(73, 95; 74, 05).
§¥§à§á§à§Ý§ß§Ú§ä§Ö§Ý§î§ß§í§Ö §Ù§Ñ§Õ§Ñ§é§Ú
1. §¯§Ñ§Û§ä§Ú §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ö §à§Ø§Ú§Õ§Ñ§ß§Ú§Ö §Ú §Õ§Ú§ã§á§Ö§â§ã§Ú§ð §Õ§Ý§ñ §ã§Ý§å§é§Ñ§Û§ß§à§Û §Ó§Ö§Ý§Ú§é§Ú§ß§í, §Ú§Þ§Ö§ð§ë§Ö§Û ¦Ö2
-
§â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §ã k §ã§ä§Ö§á§Ö§ß§ñ§Þ§Ú §ã§Ó§à§Ò§à§Õ§í.
2. §²§Ñ§ã§ã§Þ§à§ä§â§Ú§Þ §ã§Ý§å§é§Ñ§Û§ß§å§ð §Ó§Ö§Ý§Ú§é§Ú§ß§å ¦Î ¡« ¦Ö2
(k). §¥§à§Ü§Ñ§Ù§Ñ§ä§î, §é§ä§à ¦Î §ã§ä§â§Ö§Þ§Ú§ä§ã§ñ §Ü §ß§à§â§Þ§Ñ§Ý§î§ß§à§Þ§å
§â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ð §á§â§Ú k ¡ú ¡Þ.
3. §±§å§ã§ä§î tk ¨C §ã§Ý§å§é§Ñ§Û§ß§Ñ§ñ §Ó§Ö§Ý§Ú§é§Ú§ß§Ñ, §Ú§Þ§Ö§ð§ë§Ñ§ñ §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §³§ä§î§ð§Õ§Ö§ß§ä§Ñ. §´§à§Ô§Õ§Ñ t2
k = F1,k.
4. §¥§Ñ§ß§í §ß§Ö§Ù§Ñ§Ó§Ú§ã§Ú§Þ§í§Ö §ã§Ý§å§é§Ñ§Û§ß§í§Ö §Ó§Ö§Ý§Ú§é§Ú§ß§í ¦Î1, ¦Î2, ¦Î3, ¦Î4, §Ú§Þ§Ö§ð§ë§Ú§Ö §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö
N(0; ¦Ò2
= 1). §£§í§é§Ú§ã§Ý§Ú§ä§Ö P(4¦Î1 ? 3¦Î2 < ¦Î2
3 + ¦Î2
4).
5. §¥§Ñ§ß§í §ä§â§Ú §ã§Ý§å§é§Ñ§Û§ß§í§Ö §Ó§Ö§Ý§Ú§é§Ú§ß§í ¦Î1, ¦Î2, ¦Î3, §Ú§Þ§Ö§ð§ë§Ú§Ö §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö N(0; ¦Ò2
= 5),
§Ú §ã§Ý§å§é§Ñ§Û§ß§Ñ§ñ §Ó§Ö§Ý§Ú§é§Ú§ß§Ñ ¦Ç ¡« ¦Ö2
(2). §¯§Ñ§Û§Õ§Ú§ä§Ö §é§Ú§ã§Ý§à a §ä§Ñ§Ü§à§Ö, §é§ä§à P(4¦Î1 ? 3¦Î2 > a ¦Î2
3 + 5¦Ç) = 0.9,
§Ö§ã§Ý§Ú §Ú§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §Ó§ã§Ö §à§ß§Ú §ß§Ö§Ù§Ñ§Ó§Ú§ã§Ú§Þ§í.
6. §¥§Ñ§ß§í §ß§Ö§Ù§Ñ§Ó§Ú§ã§Ú§Þ§í§Ö §ã§Ý§å§é§Ñ§Û§ß§í§Ö §Ó§Ö§Ý§Ú§é§Ú§ß§í ¦Î ¡« ¦Ö2
(3) §Ú ¦Ç ¡« ¦Ö2
(2). §¯§Ñ§Û§Õ§Ú§ä§Ö P(¦Î < ¦Ç).
§¯§Ö§à§Ò§ç§à§Õ§Ú§Þ§í§Ö §ä§Ö§â§Þ§Ú§ß§í
? §²§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §³§ä§î§ð§Õ§Ö§ß§ä§Ñ, §¶§Ú§ê§Ö§â§Ñ, §±§Ú§â§ã§à§ß§Ñ.
? §ª§ß§ä§Ö§â§Ó§Ñ§Ý§î§ß§í§Ö §à§è§Ö§ß§Ü§Ú
? §¥§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý
? §¡§ã§Ú§Þ§á§ä§à§ä§Ú§é§Ö§ã§Ü§Ú§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý
? §µ§â§à§Ó§Ö§ß§î §Ù§ß§Ñ§é§Ú§Þ§à§ã§ä§Ú
? §µ§â§à§Ó§Ö§ß§î §Õ§à§Ó§Ö§â§Ú§ñ
§¶§å§ß§Ü§è§Ú§Ú §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §Ú §à§Ò§â§Ñ§ä§ß§í§Ö §Ü §ß§Ú§Þ §¶§å§ß§Ü§è§Ú§Ú §Ó MS Excel
§¬§Ó§Ñ§ß§ä§Ú§Ý§î §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §¯§°§²§®§³§´§°§¢§²
§¯§à§â§Þ§Ñ§Ý§î§ß§à§Ö §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §¯§°§²§®§³§´§²§¡§³§±
§²§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §³§ä§î§ð§Õ§Ö§ß§ä§Ñ §³§´§¾§À§¥§²§¡§³§±
§¬§Ó§Ñ§ß§ä§Ú§Ý§î §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §³§ä§î§ð§Õ§Ö§ß§ä§Ñ §³§´§¾§À§¥§²§¡§³§±§°§¢§²
§²§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §¶§Ú§ê§Ö§â§Ñ F§²§¡§³§±
§¬§Ó§Ñ§ß§ä§Ú§Ý§î §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §¶§Ú§ê§Ö§â§Ñ F§²§¡§³§±§°§¢§²
§²§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§Ö §·§Ú-§Ü§Ó§Ñ§Õ§â§Ñ§ä §·§ª2§²§¡§³§±
§¬§Ó§Ñ§ß§ä§Ú§Ý§î §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §·§Ú-§Ü§Ó§Ñ§Õ§â§Ñ§ä §·§ª2§°§¢§²
§¦§ë§× §Ö§ã§ä§î §æ§å§ß§Ü§è§Ú§ñ §¥§°§£§¦§²§ª§´ §Õ§Ý§ñ §ä§à§é§ß§à§ã§ä§Ú §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§à§Ô§à §Ú§ß§ä§Ö§â§Ó§Ñ§Ý§Ñ §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à.
4

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  • 2. 9. §µ §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§Ñ §Ü§à§ß§ä§â§à§Ý§î§ß§à§Û §ã§Ö§â§Õ§è§Ö §Ò§î§×§ä§ã§ñ §ã§à §ã§Ü§à§â§à§ã§ä§î§ð 96 §å§Õ§Ñ§â§à§Ó §Ó §Þ§Ú§ß§å§ä§å. §ª§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 15 §å§Õ§Ñ§â§Ñ§Þ §Ó §Þ§Ú§ß§å§ä§å. §°§á§â§Ö§Õ§Ö§Ý§Ú§ä§Ö §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§à §ß§Ö§à§Ò§ç§à§Õ§Ú§Þ§í§Û §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §Õ§Ý§ñ §à§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §ã §ß§Ñ§Õ§×§Ø§ß§à§ã§ä§î§ð 98% §Ú §ä§à§é§ß§à§ã§ä§î§ð 1. §°§ä§Ó§Ö§ä:162 10. §µ 20 §ã§ä§å§Õ§Ö§ß§ä§à§Ó §ß§Ñ §Ü§à§ß§ä§â§à§Ý§î§ß§à§Û §ã§Ö§â§Õ§è§Ö §Ò§Ú§Ý§à§ã§î §ã§à §ã§Ü§à§â§à§ã§ä§î§ð 96 §å§Õ§Ñ§â§à§Ó §Ó §Þ§Ú§ß§å§ä§å. §ª§Ù§Ó§Ö§ã§ä§ß§à, §é§ä§à §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 5 §å§Õ§Ñ§â§Ñ§Þ §Ó §Þ§Ú§ß§å§ä§å. §¯§Ñ§Û§ä§Ú 98% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à. §°§ä§Ó§Ö§ä:(93.4;98.6) 11. §£§í§Ò§à§â§à§é§ß§í§Û §à§á§â§à§ã 80 §ã§ä§å§Õ§Ö§ß§ä§à§Ó §á§à§Ü§Ñ§Ù§Ñ§Ý, §é§ä§à 24 §Ú§Ù §ß§Ú§ç §ß§Ö §á§à§Õ§Õ§Ö§â§Ø§Ú§Ó§Ñ§ð§ä §Ó§Ó§Ö§Õ§Ö§ß§Ú§Ö §Õ§Ó§å§ç- §Ò§Ñ§Ý§Ý§î§ß§à§Û §ã§Ú§ã§ä§Ö§Þ§í §ï§Ü§Ù§Ñ§Þ§Ö§ß§Ñ§è§Ú§à§ß§ß§à§Û §à§è§Ö§ß§Ü§Ú: "§·§°§²§°§º§°" §Ú "§°§´§­§ª§¹§¯§°". §¯§Ñ§Û§ä§Ú 96%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §æ§Ñ§Ü§ä§Ú§é§Ö§ã§Ü§à§Û §Õ§à§Ý§Ú §ã§ä§å§Õ§Ö§ß§ä§à§Ó, §á§à§Õ§Õ§Ö§â§Ø§Ú§Ó§Ñ§ð§ë§Ú§ç §ï§ä§à §ß§à§Ó§à- §Ó§Ó§Ö§Õ§Ö§ß§Ú§Ö. §°§ä§Ó§Ö§ä: (0.194;0.406) 12. §°§á§â§à§ã 100 §Ú§ß§à§Ô§à§â§à§Õ§ß§Ú§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó §á§à§Ü§Ñ§Ù§Ñ§Ý, §é§ä§à 73 §Ú§Ù §ß§Ú§ç §Ø§Ú§Ó§å§ä §Ó §à§Ò§ë§Ö§Ø§Ú§ä§Ú§Ú, §Ñ §à§ã§ä§Ñ§Ý§î- §ß§í§Ö §ã§ß§Ú§Þ§Ñ§ð§ä §Ü§Ó§Ñ§â§ä§Ú§â§í. §¯§Ñ§Û§Õ§Ú§ä§Ö 94%-§í§Û §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §æ§Ñ§Ü§ä§Ú§é§Ö§ã§Ü§à§Û §Õ§à§Ý§Ú §Ú§ß§à§Ô§à§â§à§Õ§ß§Ú§ç §ã§ä§å§Õ§Ö§ß§ä§à§Ó, §Ü§à§ä§à§â§í§Ö §ã§ß§Ú§Þ§Ñ§ð§ä §Ü§Ó§Ñ§â§ä§Ú§â§í. §°§ä§Ó§Ö§ä: (0.647;0.813) 13. §±§à§ã§ä§â§à§Û§ä§Ö 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ô§à §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§ñ, §Ö§ã§Ý§Ú §Ó§í§Ò§à§â§à§é§ß§Ñ§ñ §Õ§Ú§ã§á§Ö§â§ã§Ú§ñ §â§Ñ§Ó§ß§Ñ 625, §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §â§Ñ§Ó§Ö§ß 19. §°§ä§Ó§Ö§ä:(19.74;34.61) 14. §¯§Ñ§Û§Õ§Ú§ä§Ö 96% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §Õ§Ú§ã§á§Ö§â§ã§Ú§Ú §á§à §Ó§í§Ò§à§â§Ü§Ö §à§Ò§ì§Ö§Þ§Ñ n = 18, §Ö§ã§Ý§Ú §Ó§í§Ò§à§â§à§é§ß§à§Ö §ã§ä§Ñ§ß§Õ§Ñ§â§ä§ß§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö §â§Ñ§Ó§ß§à 10. §°§ä§Ó§Ö§ä:(55;234) 15. §±§à §â§Ö§Ù§å§Ý§î§ä§Ñ§ä§Ñ§Þ §à§Ò§ã§Ý§Ö§Õ§à§Ó§Ñ§ß§Ú§ñ §Ò§í§Ý§Ñ §à§è§Ö§ß§Ö§ß§Ñ §Õ§à§Ý§ñ §Ý§ð§Õ§Ö§Û, §ã§ä§â§Ñ§Õ§Ñ§ð§ë§Ú§ç §ã§Ö§â§Õ§Ö§é§ß§à-§ã§à§ã§å§Õ§Ú§ã§ä§í§Þ§Ú §Ù§Ñ§Ò§à§Ý§Ö§Ó§Ñ§ß§Ú§ñ§Þ§Ú §Ú §á§à§Ý§å§é§Ö§ß §ã§Ú§Þ§Þ§Ö§ä§â§Ú§é§ß§í§Û 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý (0.11;0.15). §¬§Ñ§Ü§à§Û §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú §á§â§Ú §ï§ä§à§Þ §Ú§ã§á§à§Ý§î§Ù§à§Ó§Ñ§Ý§ã§ñ? §°§ä§Ó§Ö§ä: 770 16. §¯§Ñ§Û§ä§Ú §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§í§Û §à§Ò§ì§Ö§Þ §Ó§í§Ò§à§â§Ü§Ú, §á§â§Ú §Ü§à§ä§à§â§à§Þ §ã §ß§Ñ§Õ§×§Ø§ß§à§ã§ä§î§ð 0.975 §ä§à§é§ß§à§ã§ä§î §à§è§Ö§ß§Ü§Ú §Þ§Ñ§ä§Ö§Þ§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ô§à §à§Ø§Ú§Õ§Ñ§ß§Ú§ñ §á§à §Ó§í§Ò§à§â§à§é§ß§à§Þ§å §ã§â§Ö§Õ§ß§Ö§Þ§å §â§Ñ§Ó§ß§Ñ 0.3, §Ö§ã§Ý§Ú §Ú§Ù§Ó§Ö§ã§ä§ß§à §ã§â§Ö§Õ§ß§Ö§Ö §Ü§Ó§Ñ§Õ§â§Ñ§ä§Ú§é§Ö§ã§Ü§à§Ö §à§ä§Ü§Ý§à§ß§Ö§ß§Ú§Ö ¦Ò = 1.2 §ß§à§â§Þ§Ñ§Ý§î§ß§à§Û §Ô§Ö§ß§Ö§â§Ñ§Ý§î§ß§à§Û §ã§à§Ó§à§Ü§å§á§ß§à§ã§ä§Ú. §°§ä§Ó§Ö§ä: n = 81. 17. §°§è§Ö§ß§Ú§ä§Ö §à§Ò§ì§×§Þ §Ó§í§Ò§à§â§Ü§Ú, §Ü§à§ä§à§â§í§Û §ß§Ö§à§Ò§ç§à§Õ§Ú§Þ §Õ§Ý§ñ §á§à§ã§ä§â§à§Ö§ß§Ú§Ö 90% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§à§Ô§à §Ú§ß§ä§Ö§â- §Ó§Ñ§Ý§Ñ §Õ§Ý§ñ §Õ§à§Ý§Ú §Õ§Ý§Ú§ß§í 0.02. §°§ä§Ó§Ö§ä:6765 18. §±§à §Ó§í§Ò§à§â§Ü§Ö §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã §Ú§Ù§Ó§Ö§ã§ä§ß§à§Û §Õ§Ú§ã§á§Ö§â§ã§Ú§Ö§Û ¦Ò2 §á§à§ã§ä§â§à§Û§ä§Ö §à§Õ§ß§à§ã§ä§à- §â§à§ß§ß§Ú§Û 95% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§Ú§Õ§Ñ (¦È; +¡Þ). 19. §±§à §Ó§í§Ò§à§â§Ü§Ö §Ú§Ù §ß§à§â§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§ã§á§â§Ö§Õ§Ö§Ý§Ö§ß§Ú§ñ §ã §Ú§Ù§Ó§Ö§ã§ä§ß§à§Û §Õ§Ú§ã§á§Ö§â§ã§Ú§Ö§Û ¦Ò2 §á§à§ã§ä§â§à§Û§ä§Ö §à§Õ§ß§à§ã§ä§à- §â§à§ß§ß§Ú§Û 99% §Õ§à§Ó§Ö§â§Ú§ä§Ö§Ý§î§ß§í§Û §Ú§ß§ä§Ö§â§Ó§Ñ§Ý §Õ§Ý§ñ §ã§â§Ö§Õ§ß§Ö§Ô§à §Ó§Ú§Õ§Ñ (?¡Þ; ¦È). 2
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