第二章 隨機(jī)變量及其概率分布

1、第二章隨機(jī)變量及其概率分布習(xí)題一一、填空題1；2；31927；4。1?b][pnp?232?e二、計(jì)算題1由得，????301)(kkXP176105?a4435)311(176105)1()0()2(????????XPXPXP2設(shè)直到抽到合格品為止所需抽樣次數(shù)，?X4321?X，，43)1(??XP449)2(??XP，2209)3(??XP2201)4(??XP3設(shè)該公路上每天發(fā)生的交通事故，?X)2(~PX3739.01315.

2、016767.01)1()3()1()13()1|3(?????????????XPXPXPXXPXXP習(xí)題二一、填空題1；2C；3C；4A，D；5A，B。]31[二、計(jì)算題1⑴；⑵331211????adxaa??????????11112212121aaadxadxadxa2(1)；????????????????????aaaxxeAxdeAdxeAdxx??????1)()((2)??????????????????111110

3、)()11(aaaaxaaaedxeedxdxxaxaP?????習(xí)題三一、填空題⒈；⒉；⒊；⒋。xX?8.052?1二、計(jì)算題??????????????????????dteAedxeAedxAetxxx21241)21(41222121412412????????????AedteAet所以411??eA?習(xí)題五一、填空題1Y139P0.40.40.22，；1)0(???eYP11)1(????eYP3；4????????其它03

4、121)(yypY71.0?k二、隨機(jī)變量的密度函數(shù)為X??????其它0101)(xxp⑴的分布函數(shù)為XeY?當(dāng)時(shí)，0?y0)(?yFY當(dāng)時(shí)，0?y)(ln)ln()()(yFyXPyePyFXXY?????的密度函數(shù)為XeY?????????)1[0)1[1)(eyeyyypY⑵的分布函數(shù)為|ln|XZ?當(dāng)時(shí)，0?z0)(?zFZ當(dāng)時(shí)，0?z))ln()|ln(|)(zXzPzXPzFZ??????)(1)()()(zzXzXzze