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.兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官?每隊(duì)三名隊(duì)員.隊(duì)隊(duì)員是.隊(duì)隊(duì)員是.按以往多次比賽的統(tǒng)計(jì).對(duì)陣隊(duì)員之間勝負(fù)概率如下: 對(duì)陣隊(duì)員 A隊(duì)隊(duì)員勝的概率 B隊(duì)隊(duì)員勝的概率 A­1­對(duì)B1 A­2­對(duì)B2 A­3­對(duì)B3 現(xiàn)按表中對(duì)陣方式出場(chǎng).每場(chǎng)勝隊(duì)得1分.負(fù)隊(duì)得0分.設(shè)隊(duì).隊(duì)最后所得分分別為. (1)求.的概率分布, (2)求. 解:(Ⅰ).的可能取值分別為3.2.1.0 根據(jù)題意知.所以 (Ⅱ), 因?yàn)?所以 查看更多

 

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兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官,每?duì)三名隊(duì)員,A隊(duì)隊(duì)員是A1,A2,A3,B隊(duì)隊(duì)員是B1,B2,B3.按以往多次比賽的統(tǒng)計(jì),對(duì)陣隊(duì)員之間勝負(fù)概率如下:

現(xiàn)按表中對(duì)陣方式出場(chǎng),每場(chǎng)勝隊(duì)得1分,負(fù)隊(duì)得0分.設(shè)A隊(duì)、B隊(duì)最后所得總分分別為、η.

(Ⅰ)求、η的概率分布;

(2)求E、Eη.

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A、B兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官,每?duì)三名隊(duì)員,A隊(duì)隊(duì)員是A1,A2,A3,B隊(duì)隊(duì)員是B1,B2,B3,按以往多次比賽的統(tǒng)計(jì),對(duì)陣隊(duì)員之間勝負(fù)概率如下:
對(duì)陣隊(duì)員 A隊(duì)隊(duì)員勝的概率 A隊(duì)隊(duì)員負(fù)的概率
A1對(duì)B1
2
3
1
3
A2對(duì)B2
2
5
3
5
A3對(duì)B3
2
5
3
5
現(xiàn)按表中對(duì)陣方式出場(chǎng),每場(chǎng)勝隊(duì)得1分,負(fù)隊(duì)得0分,設(shè)A隊(duì)、B隊(duì)最后所得總分分別為ξ、η.
(1)求ξ、η的概率分布;
(2)求Eξ,Eη.

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A、B兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官,A隊(duì)隊(duì)員是A1,A2,A3,B隊(duì)隊(duì)員是B1,B2,B3,按以往多次比賽的統(tǒng)計(jì),對(duì)陣隊(duì)員之間勝負(fù)概率如下:

對(duì)陣隊(duì)員     A隊(duì)隊(duì)員的勝率     B隊(duì)隊(duì)員的勝率

A1對(duì)B1                          

A2對(duì)B2                          

A3對(duì)B3                          

現(xiàn)按表中對(duì)陣方式出場(chǎng),每場(chǎng)勝隊(duì)得1分,負(fù)隊(duì)得0分,設(shè)A,B兩隊(duì)最后所得總分分別為ξ,η.

(1)求ξ,η的概率分布;

(2)求兩隊(duì)各自獲勝的期望.

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AB兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官,每?duì)三名隊(duì)員,A隊(duì)隊(duì)員是A1、A2A3,B隊(duì)隊(duì)員是B1、B2、B3,按以往多次比賽的統(tǒng)計(jì),對(duì)陣隊(duì)員之間勝負(fù)概率如下:

對(duì)陣隊(duì)員

A隊(duì)隊(duì)員勝的概率

A隊(duì)隊(duì)員負(fù)的概率

A1對(duì)B1

A2對(duì)B2

A3對(duì)B3

現(xiàn)按表中對(duì)陣方式出場(chǎng),每場(chǎng)勝隊(duì)得1分,負(fù)隊(duì)得0分.設(shè)A隊(duì)、B隊(duì)最后所得總分分別為ξ、η.

(1)求ξ、η的概率分布;

(2)求Eξ、Eη.

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AB兩個(gè)代表隊(duì)進(jìn)行乒乓球?qū)官,每?duì)三名隊(duì)員,A隊(duì)隊(duì)員是A1A2、A3B隊(duì)隊(duì)員是B1、B2、B3 。按以往多次比賽的統(tǒng)計(jì),對(duì)陣隊(duì)員之間勝負(fù)概率如下:

對(duì)陣隊(duì)員

A隊(duì)隊(duì)員勝的概率

A隊(duì)隊(duì)員負(fù)的概率

A1對(duì)B1

2 3

1 3

A2對(duì)B2

2 5

3 5

A3對(duì)B3

2 5

3 5

現(xiàn)按表中對(duì)陣方式出場(chǎng), 每場(chǎng)勝隊(duì)得1分, 負(fù)隊(duì)得0分,設(shè)A隊(duì)、B隊(duì)最后總分分別為 x、h.

(Ⅰ) 求 x、h 的概率分布;

(Ⅱ) 求Ex、Eh.

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