正态分布曲线概率怎么求？ 利用EXCEL相关函数计算正态分布概率值
\u6b63\u6001\u5206\u5e03\u6c42\u6982\u7387\u817b\u5bb3
1\u3001\u4ea7\u751f\u7b26\u5408\u6b63\u6001\u5206\u5e03\u7684\u6982\u7387\u503c\uff1a\u8f93\u5165\u201c\uff1d
NORMINV(RAND(),mean,standard_dav)\u201d\uff0cmean\u662f\u5747\u503c\uff0cstandard_dav\u662f\u6807\u51c6\u65b9\u5dee\u3002
2\u3001\u4e0b\u62c9\u7684\u65b9\u5f0f\u4ea7\u751f\u9700\u8981\u6570\u76ee\u7684\u968f\u673a\u6570\uff0c\u5168\u9009\uff0c\u590d\u5236\uff0c\u518d\u53f3\u952e\u70b9\u201c\u9009\u62e9\u6027\u7c98\u8d34\u201d\uff0c\u9009\u201c\u6570\u503c\u201d\uff08\u8fd9\u6837\u505a\u7684\u76ee\u7684\u662f\u4e3a\u4e86\u5c06\u516c\u5f0f\u5f62\u5f0f\u53bb\u6389\uff0c\u4e0d\u7136\u5b83\u4f1a\u518d\u6b21\u4ea7\u751f\u65b0\u7684\u968f\u673a\u6570\uff0c\u800c\u4f60\u88ab\u8499\u5728\u9f13\u91cc\uff09\uff0c\u7136\u540e\u6392\u5e8f\u3002
3\u3001\u53e6\u8d77\u4e00\u680f\uff0c\u8f93\u5165\u201c\uff1dNORMDIST(X,mean,stardard_dav,false)\u201d\uff0cX\u662f\u521a\u624d\u8f93\u5165\u7684\u968f\u673a\u6570\u6240\u5728\u4f4d\u7f6e\uff0c\u4ea7\u751f\u6982\u7387\u540e\uff0c\u4e0b\u62c9\uff0c\u5f97\u5230\u9700\u8981\u7684\u5168\u90e8\u968f\u673a\u6570\u5bf9\u5e94\u7684\u6982\u7387\uff0c\u7136\u540e\u5c31\u53ef\u4ee5\u4f5c\u51fa\u6211\u4eec\u719f\u6089\u7684\u6b63\u6001\u5206\u5e03\u66f2\u7ebf\u4e86\u3002
绛旓細鏍规嵁姝ｆ佸垎甯鐨姒傜巼璁＄畻鏂规硶锛屾垜浠彲浠ユ寜鐓т互涓嬫楠よ繘琛岃绠楋細鏍囧噯鍖栵細灏哫杞寲涓烘爣鍑嗘鎬佸垎甯僙锛屼娇鐢ㄥ叕寮 Z = (X - 渭) / 蟽锛屽叾涓兼槸鍧囧硷紝蟽鏄爣鍑嗗樊銆 鍦ㄦ湰棰樹腑锛屛=50锛屜=100^0.5=10锛屾墍浠 Z = (X - 50) / 10銆傛煡琛ㄦ垨杞欢锛氬埄鐢ㄦ爣鍑嗘鎬佸垎甯冭〃鎴栬绠楁満杞欢锛屾煡鎵炬垨璁＄畻鏍囧噯姝ｆ...
绛旓細宸ュ叿/鏉愭枡锛歁icrosoft Office Excel2016鐗堬紝Excel琛ㄦ牸銆1銆侀鍏堥変腑Excel琛ㄦ牸锛屽弻鍑绘墦寮銆2銆佺劧鍚庡湪璇ョ晫闈腑锛岄変腑瑕佹樉绀姝ｆ佸垎甯冩鐜鐨勫崟鍏冩牸銆3銆佸啀鑰呭湪璇ョ晫闈腑锛屽叕绀烘爮涓緭鍏ヨ绠楁鎬佸垎甯冩鐜囩殑鍏紡鈥=NORMSDIST(A1:A11)鈥濄4銆佷箣鍚庡湪璇ョ晫闈腑锛屽崟鍏冩牸閲屾垚鍔熸樉绀烘鎬佸垎甯冩鐜囩粨鏋溿5銆佸叾娆″湪璇ョ晫闈腑...
绛旓細姝ｆ佸垎甯僋锝烇紙渭锛屛碸2锛夈姝ｆ佸垎甯冩洸绾涓嶺杞翠箣闂存墍澶圭殑闈㈢Н琛ㄧず姒傜巼锛屽尯鍩熸槸68.26%鐨勬鐜囪〃绀虹殑闈㈢Н鐨勪竴鍗婏紝鎵浠ユ鐜囧煎垰濂芥槸瀹冪殑涓鍗婏紝灏辨槸34.13%銆傚彧瑕佷簡瑙ｅ浘涓鐜囩殑鍑犱綍鎰忎箟灏辨槸闈㈢Н锛屽绉拌酱涓よ竟鐩稿悓鐨勯儴鍒嗛潰绉浉绛夛紝搴旇濂界悊瑙ｃ傛柟宸瓺(x)=未^2銆侲(x)=渭銆傚浘褰㈣秺楂樼槮锛屾爣鍑嗗樊瓒婂皬锛屾...
绛旓細姝ｆ佸垎甯姒傜巼瀵嗗害姝ｆ佸垎甯冨嚱鏁扳淣ORMDIST鈥濊幏鍙栥傚湪杩欓噷鏄互鍒嗙粍杈圭晫鍊间负鈥淴鈥濇潵璁＄畻锛歁ean=AVERAGE(A:A)(鏁版嵁绠楁湳骞冲潎锛塖tandard_dev=STDEV(A:A)(鏁版嵁鐨勬爣鍑嗘柟宸級Cumulative=0(姒傜巼瀵嗗害鍑芥暟锛1.鍚戜笅濉厖 2.鍦ㄧ洿鏂瑰浘涓鍔姝ｆ佸垎甯冩洸绾鍥 a銆佸湪鐩存柟鍥惧唴鍙抽敭鈫掗夋嫨鏁版嵁鈫掓坊鍔犫啋 b銆佺郴鍒楀悕绉帮細閫変腑H1...
绛旓細D(X+Y)=DX+DY;D(X-Y)=DX+DY銆傛ц川锛姝ｆ佸垎甯鐨勬ц川锛氬鏋淴1锛屸︼紝Xn涓虹嫭绔嬫爣鍑嗗父鎬侀殢鏈哄彉閲忥紝閭ｄ箞X1²+鈥+Xn²鏈嶄粠鑷敱搴︿负n鐨勫崱鏂瑰垎甯冦傜敱浜庝竴鑸殑姝ｆ佹讳綋鍏跺浘鍍忎笉涓瀹氬叧浜巠杞村绉帮紝瀵逛簬浠讳竴姝ｆ佹讳綋锛屽叾鍙栧煎皬浜巟鐨姒傜巼銆傚彧瑕佷細鐢ㄥ畠姹傛鎬佹讳綋鍦ㄦ煇涓壒瀹氬尯闂寸殑姒傜巼鍗冲彲銆備负浜...
绛旓細璁癴ai涓烘爣鍑姝ｆ佸垎甯鍑芥暟锛屽叿浣撴暟鍊兼煡琛 1 P锛圶>7锛=1-P锛圶<7锛=1-fai锛7-5锛/1=1-fai锛2锛=1-0.9772=0.0228 2 P锛168<X<180锛=fai锛180-170锛/5-fai锛168-170锛/5=fai锛2锛-fai锛-0.4锛=fai锛2锛-1+fai锛0.4锛=0.9772-1+0.6554=0.6326 3 瀵逛簬锛圶-u...
绛旓細鐢70鍑忓幓骞冲潎鍒85锛屽啀闄や互鏍囧噯宸10 寰楀埌绯绘暟-1.5,鏌ヨ〃寰桸(1.5)=0.9332 鎵浠ュ皬浜70鐨姒傜巼涓1-0.9332=6.68 鐢90鍑忓幓骞冲潎鍒85锛屽啀闄や互鏍囧噯宸10 寰楀埌绯绘暟0.5,鏌ヨ〃寰桸(0.5)=0.6915 鎵浠ュ皬浜90鐨勬鐜囦负69.15 鍑忓幓灏忎簬70鐨勬鐜囷紝寰62.47 鎵浠ョ瓟妗堜负6.68%鍜62.47 姒傜巼 鏄害閲忓伓鐒朵簨浠...
绛旓細鍦ㄥ叕寮忎腑锛宔 鏄嚜鐒跺鏁扮殑搴曟暟锛堢害绛変簬2.71828锛夛紝蟺 鏄渾鍛ㄧ巼銆姝ｆ佸垎甯鐨姒傜巼瀵嗗害鍑芥暟鎻忚堪浜嗗彉閲忓湪鍚勪釜鍙栧间笂鐨勫彇鍊兼鐜囧瘑搴︺鏇茬嚎鏄閽熷舰鐨勶紝鍏充簬鍧囧煎绉帮紝鍛堢幇楂樼偣鍦ㄥ潎鍊煎懆鍥达紝闅忕潃璺濈鍧囧肩殑澧炲姞锛屾鐜囧瘑搴﹂愭笎鍑忓皬銆傞渶瑕佹敞鎰忕殑鏄紝姝ｆ佸垎甯冪殑鎬婚潰绉瓑浜1锛屽嵆鏁翠釜鏇茬嚎涓嬬殑姒傜巼瀵嗗害涔嬪拰涓1銆傝繖鎰忓懗鐫...
绛旓細鍥炵瓟锛氳50鍚嶅鐢熶腑鎯抽┈涓哄疇鐗╃殑浜烘暟涓篨,鍒橷~B(50,0.45), 鐢辨＃鑾紬鎷夋櫘鎷夋柉涓績鏋侀檺瀹氱悊寰,X杩戜技鏈嶄粠姝ｆ佸垎甯,鍗砐~N(22.5,12.375) 鎵浠,鎵姹傛鐜涓篜(X>=25)=1-桅((25-22.5)/3.5178)=1-桅(0.6987),鏌ヨ〃璁＄畻寰楁暟銆
绛旓細鍙互鐢ㄦ煡琛ㄦ硶璁＄畻锛孭锛0锛=Z=锛1.2锛=蠄锛1.2锛-蠄锛0锛=0.8849-0.5=0.3849 鏈涢噰绾
