推荐精选 第一章 先验分布与后验分布 1.1 解:令120.1,0.2 设 A 为从产品中随机取出 8 个,有 2 个不合格,则 22618()0.1 0.90.1488P AC 22628()0.2 0.80.2936P AC 从而有 5418.03.02936.07.01488.07.01488.0)()|()()|()()|()|(2211111APAPAPA4582.0)|(1)|(4582.03.02936.07.01488.03.02936.0)()|()()|()()|()|(122211222AAorAPAPAPA 1.2 解:令121,1.5 设 X 为一卷磁带上的缺陷数,则( )XP 3(3)3!eP X R 语言求:)4(/)exp(*)3(^gamma 1122(3)(3) ()(3) ()0.0998P XP XP X 从而有 111222(3) ()(3)0.2457(3)(3) ()(3)0.7543(3)P XXP XP XXP X 1.3 解:设 A 为从产品中随机取出 8 个,有 3 个不合格,则 3358()(1)P AC (1 ) 由题意知 ( )1,01 从而有 推荐精选 .10,)1(504)|(504)6,4(/1)6,4(1)6,4()1()1()1()1()1()1()1()()|()()|()|(535310161453105353105338533810AbetaBRBdddCCdAPAPA:语言求 (2) .10,)1(840)|(840)7,4(/1)7,4(1)7,4()1()1()1()1()1()1(2)1()1(2)1()()|()()|()|(636310171463106363105338533810AbetaBRBdddCCdAPAPA:语言求 1.5 解:(1)由已知可得 .5.125.11,110110/1)()|()()|()|(,2010,101)(5.125.111)|(2112211)|(12,2121,1)|(5.125.11201011111111ddxpxpxxpxpxxxp,,即,时,当 (2)由已知可得 推荐精选 .6.115.11,1010110/1)()|,,()()|,,(),,|(,2010,101)(6.115.111)|,,(,219.1121,214.1121,211.1121,217.1121215.11212112211)|,,(9.11,4.11,1.11,7.11,5.11,0.12,6,2,1,2121,1)|,,(6.115.112010621621621621621654321621...