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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
有關統計學的一則問題,懇請幫忙做答
Jun 2nd 2013, 23:31

隨機變數X表示某一地區年降雨量,X呈現常態分佈;參數是10,4(單位:公釐

)。

(1)一年降雨量超過15公釐屬於多雨年,計算多雨年發生的機率。

Ans:

標準值公式: Z=(X-Mu)/Sigma

計算標準值: Z=(15-10)/4=5/4=1.25

查雙尾表: P(0<Z<1.25)=0.3944

=> P(Z>=1.25)=0.5-0.3944=10.56%......ans

(2)一年降雨量低於2.5公釐屬於乾旱年,計算乾旱年發生的機率。

Ans:

計算標準值: Z=(2.5-10)/4=-7.5/4=-1.875

查雙尾表: P(0<Z<1.875)=0.4696

=> P(Z<=-1.875)=0.5-0.4696=3.04%......ans

(3)一年降雨量介於 屬於正常年,計算正常年發生的機率。

Ans:

正常年機率=P(-1.875<Z<1.25)

=0.4696+0.3944

=86.4%.........ans

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