习题答案第一章1.1(1)}00n0,1,2...,1ini{S==,其中n为小班人数(2)}18,...4,3{S=(3),......}11,10{S=(4)}1yx|)y,x{(S22<+=(5)}1zyx,0z,0y,0x|)z,y,x{(S=++>>>=,其中z,y,x分别表示第一、二、三段的长度1.2(1)CBA(2)CAB(3)CBA∪∪(4)ABC(5)CBA(6)CACBBA∪∪(7)ABC(8)ACBCAB∪∪1.335%1.4851.5(1)201)2(1211.620015001991100140020011002001500110110090400CCCC1)2(CCC)1(+−1.70.30241.8记X为最大个数,则161}3X{P169}2X{P166}1X{P======1.90.251.100.21.11459)4(4516)3(451)2(4528)1(1.122MN2NCC2MN1NCCC2MNNCC2nm2n2nm1n1m2nm2m+++•++++•+++•+++1.131971961.140.61.15当A,B互不相容时,所求概率依次为:1b,-a-1b,ab,a++当A,B独立时,所求概率依次为:ab1,abba1,2abba,abba−+−−−+−+1.160.458复习题一1(1)0.3(2)a1−(3)1,ba1a,a-1b)-a(1a,-1,a1ab−+−−3均为1024P12p)2(2p23p)1(2+−5rn2mm+60.8731,0.1268,0.00017ααα−+−1p)13(p211第二章2.1X012P352235123512.2,...2,1k,pq}kX{P)1(1k===−}4.07X{P,6,...2,1k,6.00.4}kX{P)2(61-k===×==2.31a)2(ea)1(==−λ2.4(1)0.0729,(2)0.00856,(3)0.99954,(4)0.409512.5(1)0.321,(2)0.2432.699911100010009999.00001.0C9999.01−−2.7(1)0.029771(2)∑+∞=−11k4k!ke42.8≥<≤−<=1x11x0,p10x,0)x(F2.9(1)<<=其他,0ex1,x1)x(f(2)ln2,1,ln1.252.10(1)≥<≤−+−<≤+−<=3x,13x2,273x2x2x1,21x2x1x,0)x(F22(2)≥−<=−0x,2e10x,2e)x(Fxx2.112431922.12532.13(1)0.5328,0.9996,0.6977,0.5(2)C=32.140.04562.1531.252.16Y0149P513075130112.170y,y31)y(f)y(f323Y≠⋅⋅=−2.18(1)−≤−>+=+−1y,01y,e)1y(21)y(f4/)1y(Yπ(2)≤>=−0y,00y,e22)y(f22yYπ2.19<<−=其他,01y0,y12)y(f2Yπ复习题二15167.0}1Y{P5,...1,0k,)e1()e(C}kY{Pk5-2k-2k5=≥=−==−2(1)818(2)32(3)≥<≤<≤<=3x1,3x2,432x1,411x,0)x(F4k1000k10003kk1000999.0001.0C−=∑5≥<≤<==2x,x1-12x0,4x0x,0)x(F1a6(1)≥<≤−+−<=2x,12x2),sinx1(212x,0)x(Fππππ(2)≤<=其他,y,ycosy)y(fY040212π7(1)≥<≤−<=2Rx,12Rx0),2Rx(arccos210x,0)x(Fπ(2)<<−=其他,02Rx0,x4R2)x(f22π第三章3.1100200.7.0.011X\X123...