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常態分配與抽樣分配
Dec 12th 2013, 02:35
1.設x~N(25,16)則x值介於17至37間的機率為? 答案是0.0455
Ans:
Z1=(17-25)/16=-8/16=-0.5
Z2=(37-25)/16=12/16=3/4=0.75
查雙尾表:
P(0<Z1<0.5)=0.1915 => P(-0.5<Z1<0)=0.1915
P(0<Z2<0.75)=0.2734 =>
P(17<x<37)=P(-0.5<Z<0.75)
=0.1915+0.2734
=0.4649.....ans
x=17~37在25附近=最多
答案=0.0455顯然是錯誤的!!
2.已知x屬常態分配(u=1.44,標準差=1),當x所成群體中有33%的數值比x小時,
此x值為? 答案是1,請問有人能教我怎麼算出來的嗎?拜託了~感謝~
Ans:
Z=(x-1.44)/1=x-1.44
查單尾表: 1-0.33=0.67
P(Z=x-1.44)=0.67 => x-1.44=-0.44
So x=1.....ans
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