Question

6£®µ±½ñÐÅϢʱ´ú£¬ÖÚ¶à¸ßÖÐÉúÒ²ÅäÉÏÁËÊÖ»ú£®Ä³Ð£ÎªÑо¿¾­³£Ê¹ÓÃÊÖ»úÊÇ·ñ¶Ôѧϰ³É¼¨ÓÐÓ°Ï죬Ëæ»ú³éÈ¡¸ßÈýÄ꼶50ÃûÀí¿ÆÉúµÄÒ»´ÎÊýѧÖÜÁ·³É¼¨£¬²¢ÖƳÉÏÂÃæµÄ2¡Á2ÁÐÁª±í£º

	¼°¸ñ	²»¼°¸ñ	ºÏ¼Æ
ºÜÉÙʹÓÃÊÖ»ú	20	6	26
¾­³£Ê¹ÓÃÊÖ»ú	10	14	24
ºÏ¼Æ	30	20	50

£¨1£©ÅжÏÊÇ·ñÓÐ97.5%µÄ°ÑÎÕÈÏΪ¾­³£Ê¹ÓÃÊÖ»ú¶Ôѧϰ³É¼¨ÓÐÓ°Ï죿
£¨2£©´ÓÕâ50ÈËÖУ¬Ñ¡È¡Ò»ÃûºÜÉÙʹÓÃÊÖ»úµÄͬѧ¼ÇΪ¼×ºÍÒ»Ãû¾­³£Ê¹ÓÃÊÖ»úµÄͬѧ¼ÇΪÒÒ£¬½âÒ»µÀÊýѧÌ⣬¼×¡¢ÒÒ¶ÀÁ¢½â³ö´ËÌâµÄ¸ÅÂÊ·Ö±ðΪP₁£¬P₂£¬ÇÒP₂=0.5£¬Èô|P₁-P₂|¡Ý0.4£¬Ôò´Ë¶þÈËÊʺϽáΪѧϰÉÏ»¥°ï»¥ÖúµÄ¡°Ñ§Ï°Ê¦Í½¡±£¬¼ÇXΪÁ½ÈËÖнâ³ö´ËÌâµÄÈËÊý£¬ÈôXµÄÊýѧÆÚÍûE£¨X£©=1.4£¬ÎÊÁ½ÈËÊÇ·ñÊʺϽáΪ¡°Ñ§Ï°Ê¦Í½¡±£¿
²Î¿¼¹«Ê½¼°Êý¾Ý£º${K^2}=\frac{{n{{£¨ad-bc£©}^2}}}{£¨a+b£©£¨c+d£©£¨a+c£©£¨b+d£©}$£¬ÆäÖÐn=a+b+c+d£®

P£¨K2¡ÝK0£©	0.10	0.05	0.025	0.010
K0	2.706	3.841	5.024	6.635

Answer 1

·ÖÎö £¨1£©ÓÉÁÐÁª±í¼ÆËãK²£¬¶ÔÕÕÁÙ½çÖµ¼´¿ÉµÃ³ö½áÂÛ£»
£¨2£©ÒÀÌâÒâÖªËæ»ú±äÁ¿XµÄ¿ÉÄÜÈ¡Öµ£¬Ð´³öX·Ö²¼ÁУ¬¼ÆËãÊýѧÆÚÍûE£¨X£©£¬Çó³öP₁¡¢P₂£¬¼´¿ÉµÃ³ö½áÂÛ£®

½â´ð ½â£º£¨1£©ÓÉÁÐÁª±í¿ÉµÃ£º${K^2}=\frac{{50¡Á{{£¨20¡Á14-6¡Á10£©}^2}}}{30¡Á20¡Á26¡Á24}=\frac{6050}{936}$£¾5.024£¬
ËùÒÔ£¬ÓÐ97.5%µÄ°ÑÎÕÈÏΪ¾­³£Ê¹ÓÃÊÖ»ú¶Ôѧϰ³É¼¨ÓÐÓ°Ï죻£¨6·Ö£©
£¨2£©ÒÀÌâÒ⣬½â³ö´ËÌâµÄÈËÊýX¿ÉÄÜȡֵΪ0£¬1£¬2£¬
¿ÉµÃ·Ö²¼ÁÐΪ£º

X	0	1	2
P	£¨1-P1£©£¨1-P2£©	£¨1-P1£©P2+P1£¨1-P2£©	P1P2

£¨9·Ö£©
ËùÒÔE£¨X£©=P₁+P₂=1.4£¬
ÓÖP₂=0.5£¬ËùÒÔP₁=0.9£¬£¨10·Ö£©
ÇÒ|P₁-P₂|=0.4¡Ý0.4£¬
ËùÒÔ¶þÈËÊʺϽáΪ¡°Ñ§Ï°Ê¦Í½¡±£®£¨12·Ö£©

µãÆÀ ±¾Ì⿼²éÁ˶ÀÁ¢ÐÔ¼ìÑéµÄÎÊÌ⣬Ҳ¿¼²éÁËÀëÉ¢ÐÍËæ»ú±äÁ¿µÄ·Ö²¼ÁÐÓëÊýѧÆÚÍûµÄ¼ÆËãÎÊÌ⣬ÊÇÖеµÌ⣮