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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
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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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