- 1 -
绗?/p>
1
绔?/p>
姒傜巼璁虹殑鍩烘湰姒傚康
搂
1 .8
闅忔満浜嬩欢鐨勭嫭绔嬫�?/p>
1.
鐢佃矾濡傚浘锛屽叾涓?/p>
A,B,C,D
涓哄紑鍏炽�傝鍚勫紑鍏抽棴鍚堜笌鍚︾浉浜掔嫭绔嬶紝涓旀瘡涓�寮�鍏抽棴鍚堢殑姒傜巼
鍧囦负
p,
姹?/p>
L
涓?/p>
R
涓洪�氳矾锛堢敤
T
琛ㄧず锛夌殑姒傜巼銆?/p>
A B
L R
C D
1.
鐢诧紝涔?/p>
,
涓欎笁浜哄悜鍚屼竴鐩爣鍚勫皠鍑讳竴娆★紝鍛戒腑鐜囧垎鍒负
0.4,0.5
鍜?/p>
0.6
锛屾槸鍚﹀懡涓紝鐩?
浜掔嫭绔嬶紝
姹備笅鍒楁鐜?/p>
: (1)
鎭板ソ鍛戒腑涓�娆?/p>
,(2)
鑷冲皯鍛戒腑涓�娆°�?/p>
绗?/p>
1
绔犱綔涓氱瓟妗?/p>
搂
1 .8.
1
锛?/p>
鐢?/p>
A,B,C,D
琛ㄧず寮�鍏抽棴鍚堬紝浜庢槸
T = AB
鈭?/p>
CD,
浠庤�岋紝鐢辨鐜囩殑鎬ц川鍙?/p>
A,B,C,D
鐨勭浉浜掔嫭绔嬫�?/p>
P(T) = P(AB) + P(CD) - P(ABCD)
= P(A)P(B) + P(C)P(D)
鈥?/p>
P(A)P(B)P(C)P(D)
4
2
4
2
2
2
p
p
p
p
p
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
2
锛?/p>
(1) 0.4(1-0.5)(1-0.6)+(1-0.4)0.5(1-0.6)+(1-0.4)(1-0.5)0.6=0.38
锛?/p>
(2) 1-(1-0.4)(1-0.5)(1-0.6)=0.88.
绗?/p>
2
绔?/p>
闅忔満鍙橀噺鍙婂叾鍒嗗竷
搂
2.2
1
0
飥?/p>
鍒嗗竷鍜屾硦鏉惧垎甯?/p>
1
鏌愮▼鎺т氦鎹㈡満鍦ㄤ竴鍒嗛挓鍐呮帴鍒扮敤鎴风殑鍛煎彨娆℃暟
X
鏄湇浠幬?/p>
=4
鐨勬硦鏉惧垎甯冿紝姹?/p>
(1)
姣忓垎閽熸伆鏈?/p>
1
娆″懠鍙殑姒傜巼锛?/p>
(2)
姣忓垎閽熷彧灏戞湁
1
娆″懠鍙殑姒傜巼锛?/p>
(3)
姣忓垎閽熸渶澶氭湁
1
娆″懠鍙殑姒傜巼锛?/p>
2
璁鹃殢鏈哄彉閲?/p>
X
鏈夊垎甯冨緥锛?/p>
X 2 3 , Y
锝炏�
(X),
璇曟眰锛?/p>
p
0.4
0.6
锛?/p>
1
锛?/p>
P(X=2,Y
鈮?/p>
2)
锛?/p>
(2)P(Y
鈮?/p>
2)
锛?/p>
(3)
宸茬煡
Y
鈮?/p>
2,
姹?/p>
X=2
鐨勬鐜囥�?/p>
搂
2.3
璐濆姫閲屽垎甯?/p>
2
璁炬瘡娆″皠鍑诲懡涓巼涓?/p>
0.2
锛?/p>
闂嚦灏戝繀椤昏繘琛屽灏戞鐙珛灏勫嚮锛?/p>
鎵嶈兘浣胯嚦灏戝嚮涓竴娆＄殑姒傜巼
涓嶅皬浜?/p>
0.9
锛?/p>
搂
2.6
鍧囧寑鍒嗗竷鍜屾寚鏁板垎甯?/p>
2
鍋囪鎵撲竴娆＄數璇濇墍鐢ㄦ椂闂达紙鍗曚綅锛氬垎锛?/p>
X
鏈嶄粠
2
.
0
飥?/p>
飦?/p>
鐨勬寚鏁板垎甯冿紝濡傛煇浜烘濂藉湪浣犲墠闈?/p>
璧拌繘鐢佃瘽浜紝璇曟眰浣犵瓑寰咃細
锛?/p>
1
锛夎秴杩?/p>
10
鍒嗛挓鐨勬鐜囷紱
锛?/p>
2
锛?/p>
10
鍒嗛挓
鍒?/p>
20
鍒嗛挓鐨勬鐜囥�?/p>
搂
2.7
姝ｆ�佸垎甯?/p>
1
闅忔満鍙橀噺
X
锝?/p>
N (3,
4), (1)
姹?/p>
P(2<X
鈮?/p>
5) ,
P(- 4<X
鈮?/p>
10),
P(|X|>2),
P(X>3)
锛?/p>
(1)
纭畾
c
锛屼娇寰?/p>
P(X>c) = P(X<c)
銆?/p>
绗?/p>
2
绔犱綔涓氱瓟妗?/p>