8-39
ﺞﻣﺎﻧﺮﺒﻟﺍ ﻲﻓ ﻊﻳﺯﻮﺘﻠﻟ ﺔﻴﻧﺎﻴﺒﻟﺍ ﻡﻮﺳﺮﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ k
.ﺞﻣﺎﻧﺮﺒﻟﺍ ﻲﻓ ﻊﻳﺯﻮﺘﻠﻟ ﺔﻴﻧﺎﻴﺒﻟﺍ ﻡﻮﺳﺮﻟﺍ ﻢﺳﺮﻟ ﺔﺻﺎﺧ ﺮﻣﺍﻭﺍ ﻡﺪﺨﺘﺴﻳ
ﻲﻌﻴﺒﻄﻟﺍ ﻲﻤﻛﺍﺮﺘﻟﺍ ﻊﻳﺯﻮﺘﻠﻟ ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ •
DrawDistNorm <Lower>, <Upper> [,
σ
, μ]
1
* ﻥﺎﻜﺴﻟﺍ ﻂﺳﻮﺘﻣ
1
* ﻥﺎﻜﺴﻟﺍ ﻱﺭﺎﻴﻌﳌﺍ ﻑﺍﺮﺤﻧﻻﺍ
ﺕﺎﻧﺎﻴﺒﻠﻟ ﻰﺼﻗﻷﺍ ﺪﳊﺍ
ﺕﺎﻧﺎﻴﺒﻠﻟ ﻰﻧﺩﻷﺍ ﺪﳊﺍ
.σ = 1 ﻭ μ = 0 ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﺑﺎﺴﺤﻟﺍ ﺔﻴﻠﻤﻌﻟﺍ ﻱﺮﺠﺗ ﺩﻮﻨﺒﻟﺍ ﻩﺬﻫ ﻑﺬﺤﺑ .ﺍﺬﻫ ﻑﺬﺣ ﻦﻜﻤﻳ
1
*
ﺎﻘﻓﻭ ﻩﻼﻋﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺀﺍﺩﺄﺑ ﻡﻮﻘﻳ
DrawDistNorm ﺬﻴﻔﻨﺗ •
ﺀﻞﻣ ﻢﺘﻳ ﺖﻗﻮﻟﺍ ﺲﻔﻧ ﻲﻓ .ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﻢﺳﺮﻳ ﻭ ﺓﺩﺪﺤﻣ ﻁﻭﺮﺸﻟ
ﺎﻬﻴﻓ ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﻰﻠﻋ
ZLow < x < ZUp ﺔﻘﻄﻨﳌﺍ
ﻭ ،
ZLow ﻭ ،p ﻲﻟﺍﻮﺘﻟﺍ ﻰﻠﻋ ﺕﺍﺮﻴﻐﺘﻤﻠﻟ ZUp ﻭ ،ZLow ﻭ ،p ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﻢﻴﻗ ﲔﻴﻌﺗ ﻢﺘﻳ،ﺖﻗﻮﻟﺍ ﺲﻔﻧ ﻲﻓ •
.
Ans ﻰﻟﺍ ﻪﻨﻴﻴﻌﺗ ﻢﺘﻳ p ﻭ ،ZUp
t-ﺖﻧﺩﻮﻴﺘﺴﻟ ﻲﻤﻛﺍﺮﺘﻟﺍ ﻊﻳﺯﻮﺘﻠﻟ ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ •
DrawDistT <Lower>, <Upper>, <df>
ﺔﻳﺮﳊﺍ ﺔﺟﺭﺩ
ﺕﺎﻧﺎﻴﺒﻠﻟ ﻰﺼﻗﻷﺍ ﺪﳊﺍ
ﺕﺎﻧﺎﻴﺒﻠﻟ ﻰﻧﺩﻷﺍ ﺪﳊﺍ
ﺲﻔﻧ ﻲﻓ .ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﻢﺳﺮﻳ ﻭ ﺓﺩﺪﺤﻣ ﻁﻭﺮﺸﻟ ﺎﻘﻓﻭ ﻩﻼﻋﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺀﺍﺩﺄﺑ ﻡﻮﻘﻳ DrawDistT ﺬﻴﻔﻨﺗ •
.ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﻰﻠﻋ
Lower < x < Upper ﺔﻘﻄﻨﳌﺍ ﺀﻞﻣ ﻢﺘﻳ ﺖﻗﻮﻟﺍ
،p ﻲﻟﺍﻮﺘﻟﺍ ﻰﻠﻋ ﺕﺍﺮﻴﻐﺘﻤﻠﻟ ﻰﻠﻋﻻﺍﻭ ﻰﻧﺩﻷﺍ ﺕﻼﺧﺪﻣ ﻢﻴﻗﻭ ،p ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ ﺔﻤﻴﻗ ﲔﻴﻌﺗ ﻢﺘﻳ،ﺖﻗﻮﻟﺍ ﺲﻔﻧ ﻲﻓ •
.
Ans ﻰﻟﺍ ﻪﻨﻴﻴﻌﺗ ﻢﺘﻳ p ﻭ ،tUp ﻭ ،tLow ﻭ
πσ
2
p =
dx
1
e
–
2
2
σ
(x – μ)
2
μ
Upper
Lower
∫
ZUp =
σ
Upper –
μ
ZLow =
σ
Lower –
μ
tLow = Lower tUp = Upper
Γ
2
df + 1
df
x
2
1 +
df + 1
2
p = ×
–
Γ
2
df
dx
df
×
π
Upper
Lower
∫
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