Page 147 - الرياضيات المتقدمة كتاب الطالب الصف 12 الفصل 2

{Oz Gb Py3s b Æ kf b .&sb b Gb ^ Æ{j b {6 1.b d?Wb ç 2;N {j b X?cb f.[ gb Ÿ zB y2b

ÎC: „± VgC0 ± The normal distribution zNy Fa Ox2r a œ—¢

šIŸ § “Ò ½’ § “Ò ½’ ˜d C ± X b ± ` R5j­ _=7 ± û0 d ½R ± a / ÔQ ± d4= 2 ± c; ;: ± d ^ C: ± ÏP Ù û= ›-¢ ½»P ± d C;3 „
šIŸ § “Ò ½’ § “Ò ½’ ˜d C ± X b ± ` R ­ _=7 ± û0
˜E90 : ± E=g±b/4 ± ´±R=5 :9 d C: „± Z ¼b ± ^= :
šI ¢œ § “à • Ò ½ à — Ғ »±P7: Z7 _=7 ± ` CÕ R7  ¢Iœ
Normal distribution d4= Z ¼b a ÔQ ± ^0 : ± dg±b/4 ± R=5 :9 d C: „± Z ¼b ± ^ :Ù
X b ± ` P ±Ò Ô»C=4 ˱R ±
˜d C ± ˜E69 ´±P C/ Ò­ H ±b µÒP ÎC: ± P P ³±¹? ÏP E=hC » E ±P

Û
šI£Ÿžž § “Ãœ • Ò ½ Ü — Ғ »±P7: Z7 _=7 ± ` CÕ R7 £ŸIžž F E C : ± ÔÒC Ò –E=7=7 ± “½’ _= Z=: ËR4Ù E ±P ± ÑQ< d C= ± ^= : ±
˜d C ± X b ± ` `=K »C=4 `=Ø ±R ± › Ô­ ´„C: „± Ãb: c; ;: ±

šI££¡ž § “Ý • Ò ½ Ý — Ғ  »±P7: Z7 _=7 ± ` CÕ R7 ££I¡ž X b ± d ^0 dg±b/ R=5 : d4= 2 ± Z ¼b ± ËR4 d ± Parameters T= C7: ±
Û
˜d C ± X b ± ` E »C=4 ´C ±R ± œ
. à ` C ±Ò –“Ò’ d C ±
œ
˜“ à –Ò’ Á ~ ½ ¤b ; ± c9 a 8 “½’ ^0 dg±b/ R=5 : d4= 2 ± Z ¼b ± ûjb
F C Ò –¹P ¹P `= R0 ; d4= 2 ± Z ¼b ± d _=7 ± ÎC: ± Э ÎÒP ± ` Y
˜E »C=4: ± ´C ±R „± ` ¼ "y i

ÔÒC d ±Ò c; ;: ± F E= C: ˆ± E C : ±Ò –ÎÒP ±Ò c; ;: ± ^ C: ϱP ± C;;8: Ò
œ
˜^0 dg±b/ R=5 : CÕ=4= CÕ4 ¼b “ à –Ò’ Á ~ ½ ËR4
Û
˜ÓR ­ ´„C: ± ¹C ˆ › .‘“ Ò a; C Ò –“Ò’ d C ± a2 Ò CÕ=4= CÕ4 ¼b Z ½’ ­R7 Ò
œ
¤E= Š± ´±b2 ± Z “à — Ò ½’ –“à • Ò ½’ ¹C ˆ ¤ Õ :
“²’ –“­’ `= “½’ _= Ðb8 Э ÎC: ± –“½’ ^0 dg±b/ R=5 : d4= Z ¼b ÔM
(ج) (ب) (أ)
ÎÑÔ –­ § ½ ` KP ±Ò –´C;= ± »b `= ³»b0 : ± d4= 2 ± c; ;: ± F E C : ± ÔÒC ÎÑÓ
(ع - و س) ل (ع + و س) ل ٠٫٦٨٢٦
˜² § ½
- ƒM 6 „e
(ب س أ) = ﺔﺣﺎﺴﻤﻟا
«S Û Ô­ F E C : ±
C< 6 d c; ;: ± `
ع - و و و ع + و ع - و و ع + و
` KP ± F;:1 «±b
šI ¢œ - › a ­ d;4 ±Q Ò ˜„ Ò­
šI›Ÿ¢¡ = § “­’ ^8/ ± d E993 R= E72; ^ E C _= `= ÌR P b „
œ و ب
–“² ½ ­’
¤d “¶’ –“²’ `=Ø98/ ± ` ^ d E993: ± E72;: ± E C ÐA –a=9 Ò
–“² ½ ­’ ÎÒP ±Ò d C= ± ^= : ± d `Û= C<14 Ò –E:<: ± VgC0 ± ` ¹P d4= 2 ± Z ¼b 9
šI¢ž› = šI›Ÿ¢¡ - › –“² ½ ­’
¤`== Š±
˜“² ½ ­’
šI¢ž› § “à — Ò ½’ § “à • Ò ½’ Э H ; ٪٩٩٫٧٤
٪٩٥٫٤٤
¤E= Š± ´±b2 ± Z “Ãœ — Ò ½’ –“Ãœ • Ò ½’ ¹C ˆÒ
٪٦٨٫٢٦
(و)
(ﻫ) (د)
(ع٢ - و س) ل (ع٢ + و س) ل
٠٫٩٥٤٤

ع٢ - و و و ع٢ + و ع٢ - و و ع٢ + و
٪٢٫١٤ ٪١٣٫٥٩ ٪٣٤٫١٣ ٪٣٤٫١٣ ٪١٣٫٥٩ ٪٢٫١٤
šI£Ÿžž - › ع٢ + و
šIšœœ¢ = § “¹’ ^8/ ± d E993 R= E72; ^ E C ع٣ - و ع٢ - و ع - و و ع + و ع٣ + و
œ ٪٥٠ ٪٥٠

11-038 MOE book 33.indd 146 25/12/2023 4:36 PM