设随机变量X服从区间【0,5】上的均匀分布,则P{X≤3}=是一道概率论与数理统计的题目,
P{X≤3}=F(3)=(3-0)/(5-0)=3/5绛旓細P{X鈮3}=F(3)=(3-0)/(5-0)=3/5
绛旓細闅忔満鍙橀噺X鏈嶄粠鍖洪棿銆1,5銆涓婄殑鍧囧寑鍒嗗竷 浠庤屾柟绋嬫湁瀹炴牴鐨勬鐜嘝=锛5-2锛/锛5-1锛=0.75 渚嬪锛氭柟绋媥2+2Yx+1=0鏈夊疄鏍 鍒欌柍=锛2Y锛塪u²-4=4Y²-4鈮0 瑙e緱Y鈮1鎴朰鈮-1 鍙圷鈭堬紙0,5锛夋墍浠鈮1鐨勬鐜囦负锛5-1锛/5=4/5 鏁呮柟绋媥2+2Yx+1=0鏈夊疄鏍圭殑姒傜巼涓4/5 ...
绛旓細16-4X鈮0 X鈮4 鎵浠ユ鐜囦负4/10=2/5
绛旓細鍗筹紙4X锛塣2-4脳4(X+2)鈮0 瑙f柟绋嬬粍寰梄鈮-1鎴朮鈮2 鍙堚埖X鈭堬紙0锛5锛夆埓浣挎柟绋嬫湁瀹炴牴鐨刋鍙栧艰寖鍥翠负[2锛5锛夆埓P=锛5-2锛/5=0.6
绛旓細宸т簡锛屾垜涔熷湪澶嶄範姒傜巼璁
绛旓細0.52x+锛118-x锛*0.33=53
绛旓細鏂圭▼x2+2Yx+1=0鏈夊疄鏍 鍒欌柍=锛2Y锛²-4=4Y²-4鈮0 瑙e緱Y鈮1鎴朰鈮-1 鍙圷鈭堬紙0,5锛夋墍浠鈮1鐨勬鐜囦负锛5-1锛/5=4/5 鏁呮柟绋媥2+2Yx+1=0鏈夊疄鏍圭殑姒傜巼涓4/5 銆愬笇鏈涘彲浠ュ府鍒颁綘锛 绁濆涔犲揩涔愶紒 O(鈭鈭)O~銆
绛旓細鎴戠寽鏄 fy(y)=5e^(-5y)x鏈嶄粠U[0,0.2]fx(x)=1/0.2=5 (0
绛旓細鐩存帴鐢ㄤ功涓婄殑鍏紡灏辫锛岀瓟妗堝鍥炬墍绀
绛旓細銆愮瓟妗堛戯細D