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1、概率论与数理统计(经管类)-阶段测评11.单选题1.15.0设$A$为随机事件,则下列命题中错误的是()您答对了c·a$A$与$barA$互为对立事件··b$A$与$barA$互不相容··c$bar(AuubarA)=Omega$··d$barbarA=A$·$bar(AuubarA)=barOmega=Phi$1.25.0设随机变量X的概率密度为$f(x)={(asinx,0<=x<=pi/2),(0,其他):}$,则常数a=()您答对了c·a3··b25.1-9,,services,andm
2、akethecitymoreattractive,strengtheningpublictransportinvestment,establishedasthebackboneoftheurbanrailtransitmulti-level,multi-functionalpublictransportsystem,thusprotectingtheregionalpositionandachieve··c1··d0·密度函数的性质:$int_-oo^(+oo)f(x)dx=1$。从而具体的这个
3、题目有$int_-oo^0f(x)dx+int_0^(pi/2)f(x)dx+int_(pi/2)^(+oo)f(x)dx=int_0^(pi/2)f(x)dx=int_0^(pi/2)asin(x)dx=-acos(x)
4、_0^(pi/2)=a$,所以a=1。1.35.0设$P(A
5、B)=1/6$,$P(barB)=1/2$,$P(B
6、A)=1/4$,则$P(A)=$()您答对了c·a$1/6$··b$1/2$··c$1/3$··d$1/4$·$P(A
7、B)=(P(AB))/(P(B))=1/
8、6$……(1)$P(B
9、A)=(P(AB))/(P(A))=1/4$……(2)根据(1)式算出$P(AB)$,带入(2)就得到$P(A)=1/3$1.45.0设A、B为两事件,已知$P(B)=1/2$,$P(AuuB)=2/3$,若事件A,B相互独立,则P(A)=()5.1-9,,services,andmakethecitymoreattractive,strengtheningpublictransportinvestment,establishedasthebackboneoftheurb
10、anrailtransitmulti-level,multi-functionalpublictransportsystem,thusprotectingtheregionalpositionandachieve您答对了c·a$1/9$··b$1/6$··c$1/3$··d$1/2$·$P(AuuB)=P(A)+P(B)-P(AB)$,因为独立,所以P(AB)=P(A)P(B),计算即可。1.55.0有甲、乙两人,每人扔两枚均匀硬币,则两人所扔硬币均未出现正面的概率为()您答对了c·a$1/8$
11、··b$1/2$··c$1/16$··d5.1-9,,services,andmakethecitymoreattractive,strengtheningpublictransportinvestment,establishedasthebackboneoftheurbanrailtransitmulti-level,multi-functionalpublictransportsystem,thusprotectingtheregionalpositionandachieve$1/6$·$1
12、^4/2^4=1/16$1.65.0设A与B是任意两个互不相容事件,则下列结论中正确的是()您答对了d·aP(A)=1-P(B)··bP(A-B)=P(B)··cP(AB)=P(A)P(B)··dP(A-B)=P(A)·P(A-B)=P(A)-P(AB)=P(A)-0=P(A),A答案考的是两个互逆事件之间的概率关系,C答案考的是两个事件独立的概念!1.75.0下列各函数可作为随机变量分布函数的是()您答对了b·a$F_(1)(x)={(2x,0<=x<=1),(0,其他):}$··b$F_(2
13、)(x)={(0,x<0),(x,0<=x<1),(1,x>=1):}$5.1-9,,services,andmakethecitymoreattractive,strengtheningpublictransportinvestment,establishedasthebackboneoftheurbanrailtransitmulti-level,multi-functionalpublictransportsystem,thusprotectingtheregionalpositionan