SlideShare a Scribd company logo
Exercice 26
   N = 10       n=5           p = 0, 3 =   R
                                           N
                                                      donc R = 0, 3 × 10 = 3
                          3    7
                         C3 · C2    1
    (a) P(X = 3) =          10
                                 =
                          C5       12
    (b) P(X ≤ 2)

                   P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
                                   3    7
                                  C0 · C5    C3 · C7 C3 · C7
                                =    10
                                           + 1 10 4 + 2 10 3
                                    C5        C5       C5
                                  1      5    5     11
                                =    +      +     =
                                  12 12 12 12
    (c) E(X ) = n · p = 5 × 0, 3 = 1, 5
    (d) V (X ) =   N−n
                   N−1
                         · n · p · (1 − p) =   5
                                               9
                                                   × 5 × 0, 3 × 0, 7 =    7
                                                                         12

More Related Content

What's hot

Si ci set 1 solutions
Si  ci set 1 solutionsSi  ci set 1 solutions
Si ci set 1 solutions
amansuryawanshi2
 
Funções trigonométricas
Funções trigonométricasFunções trigonométricas
Funções trigonométricas
Pedro Dias
 
Funções 3
Funções 3Funções 3
Funções 3
KalculosOnline
 
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt AnhĐề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
Trung Tâm Gia Sư Việt Trí
 
Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01
Raghav Sachdeva
 
Fuvest 2019 - aberta
Fuvest 2019 - abertaFuvest 2019 - aberta
Fuvest 2019 - aberta
KalculosOnline
 
Resolución del-examen-de-la-práctica-de-métodos-numéricos
Resolución del-examen-de-la-práctica-de-métodos-numéricosResolución del-examen-de-la-práctica-de-métodos-numéricos
Resolución del-examen-de-la-práctica-de-métodos-numéricos
Carlos Cosi Mamani
 
Efoom 2016
Efoom 2016Efoom 2016
Efoom 2016
KalculosOnline
 
Polinômios 3
Polinômios 3Polinômios 3
Polinômios 3
KalculosOnline
 
Lista de integrais2
Lista de integrais2Lista de integrais2
Lista de integrais2
Universidade de São Paulo USP
 
Lista de integrais Calculo IV
Lista de integrais Calculo IVLista de integrais Calculo IV
Lista de integrais Calculo IV
Universidade de São Paulo USP
 
Formulas
FormulasFormulas
Formulas
Aneel Ahmad
 
Cônicas 1
Cônicas 1Cônicas 1
Cônicas 1
KalculosOnline
 
Tabela cal1
Tabela cal1Tabela cal1
Funções 2
Funções  2Funções  2
Funções 2
KalculosOnline
 
Visualizing Differential Equations
Visualizing Differential EquationsVisualizing Differential Equations
Visualizing Differential Equations
pd3h
 
Maths (2)
Maths (2)Maths (2)

What's hot (17)

Si ci set 1 solutions
Si  ci set 1 solutionsSi  ci set 1 solutions
Si ci set 1 solutions
 
Funções trigonométricas
Funções trigonométricasFunções trigonométricas
Funções trigonométricas
 
Funções 3
Funções 3Funções 3
Funções 3
 
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt AnhĐề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
Đề Thi HK2 Toán 9 - TH THCS THPT  Việt Anh
 
Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01Shubhanshumathprojectwork10 a-120930012042-phpapp01
Shubhanshumathprojectwork10 a-120930012042-phpapp01
 
Fuvest 2019 - aberta
Fuvest 2019 - abertaFuvest 2019 - aberta
Fuvest 2019 - aberta
 
Resolución del-examen-de-la-práctica-de-métodos-numéricos
Resolución del-examen-de-la-práctica-de-métodos-numéricosResolución del-examen-de-la-práctica-de-métodos-numéricos
Resolución del-examen-de-la-práctica-de-métodos-numéricos
 
Efoom 2016
Efoom 2016Efoom 2016
Efoom 2016
 
Polinômios 3
Polinômios 3Polinômios 3
Polinômios 3
 
Lista de integrais2
Lista de integrais2Lista de integrais2
Lista de integrais2
 
Lista de integrais Calculo IV
Lista de integrais Calculo IVLista de integrais Calculo IV
Lista de integrais Calculo IV
 
Formulas
FormulasFormulas
Formulas
 
Cônicas 1
Cônicas 1Cônicas 1
Cônicas 1
 
Tabela cal1
Tabela cal1Tabela cal1
Tabela cal1
 
Funções 2
Funções  2Funções  2
Funções 2
 
Visualizing Differential Equations
Visualizing Differential EquationsVisualizing Differential Equations
Visualizing Differential Equations
 
Maths (2)
Maths (2)Maths (2)
Maths (2)
 

Similar to Ch32 26

Nota math-spm
Nota math-spmNota math-spm
Nota math-spm
Ragulan Dev
 
F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2
norainisaser
 
F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2 F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2
norainisaser
 
Sect2 1
Sect2 1Sect2 1
Sect2 1
inKFUPM
 
Ecuaciones de primer y de segundo grado
Ecuaciones de primer y de segundo gradoEcuaciones de primer y de segundo grado
Ecuaciones de primer y de segundo grado
terzaga
 
QMT202/SET2
QMT202/SET2QMT202/SET2
QMT202/SET2
aliasjedi
 
5 indices & logarithms
5  indices & logarithms5  indices & logarithms
5 indices & logarithms
linusshy
 
Sect5 6
Sect5 6Sect5 6
Sect5 6
inKFUPM
 
S101-52國立新化高中(代理)
S101-52國立新化高中(代理)S101-52國立新化高中(代理)
S101-52國立新化高中(代理)
yustar1026
 
MATH: ONE STEP EQUATIONS
MATH: ONE STEP EQUATIONSMATH: ONE STEP EQUATIONS
MATH: ONE STEP EQUATIONS
M, Michelle Jeannite
 
Sect3 7
Sect3 7Sect3 7
Sect3 7
inKFUPM
 
Add maths 2
Add maths 2Add maths 2
Add maths 2
morabisma
 
Add Maths 2
Add Maths 2Add Maths 2
Add Maths 2
morabisma
 
2 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 20102 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 2010
zabidah awang
 
2 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 20102 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 2010
zabidah awang
 
Number theory lecture (part 1)
Number theory lecture (part 1)Number theory lecture (part 1)
Number theory lecture (part 1)
Aleksandr Yampolskiy
 
Section1 stochastic
Section1 stochasticSection1 stochastic
Section1 stochastic
cairo university
 
BS1501 tutorial 3_final
BS1501 tutorial 3_finalBS1501 tutorial 3_final
BS1501 tutorial 3_final
Champ Pairach
 
BS1501 tutorial 3_final
BS1501 tutorial 3_finalBS1501 tutorial 3_final
BS1501 tutorial 3_final
Champ Pairach
 
近似ベイズ計算によるベイズ推定
近似ベイズ計算によるベイズ推定近似ベイズ計算によるベイズ推定
近似ベイズ計算によるベイズ推定
Kosei ABE
 

Similar to Ch32 26 (20)

Nota math-spm
Nota math-spmNota math-spm
Nota math-spm
 
F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2F4 Final Sbp 2007 Maths Skema P 1 & P2
F4 Final Sbp 2007 Maths Skema P 1 & P2
 
F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2 F4 Final Sbp 2006 Math Skema P 1 & P 2
F4 Final Sbp 2006 Math Skema P 1 & P 2
 
Sect2 1
Sect2 1Sect2 1
Sect2 1
 
Ecuaciones de primer y de segundo grado
Ecuaciones de primer y de segundo gradoEcuaciones de primer y de segundo grado
Ecuaciones de primer y de segundo grado
 
QMT202/SET2
QMT202/SET2QMT202/SET2
QMT202/SET2
 
5 indices & logarithms
5  indices & logarithms5  indices & logarithms
5 indices & logarithms
 
Sect5 6
Sect5 6Sect5 6
Sect5 6
 
S101-52國立新化高中(代理)
S101-52國立新化高中(代理)S101-52國立新化高中(代理)
S101-52國立新化高中(代理)
 
MATH: ONE STEP EQUATIONS
MATH: ONE STEP EQUATIONSMATH: ONE STEP EQUATIONS
MATH: ONE STEP EQUATIONS
 
Sect3 7
Sect3 7Sect3 7
Sect3 7
 
Add maths 2
Add maths 2Add maths 2
Add maths 2
 
Add Maths 2
Add Maths 2Add Maths 2
Add Maths 2
 
2 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 20102 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 2010
 
2 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 20102 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 2010
 
Number theory lecture (part 1)
Number theory lecture (part 1)Number theory lecture (part 1)
Number theory lecture (part 1)
 
Section1 stochastic
Section1 stochasticSection1 stochastic
Section1 stochastic
 
BS1501 tutorial 3_final
BS1501 tutorial 3_finalBS1501 tutorial 3_final
BS1501 tutorial 3_final
 
BS1501 tutorial 3_final
BS1501 tutorial 3_finalBS1501 tutorial 3_final
BS1501 tutorial 3_final
 
近似ベイズ計算によるベイズ推定
近似ベイズ計算によるベイズ推定近似ベイズ計算によるベイズ推定
近似ベイズ計算によるベイズ推定
 

More from schibu20

Ch39 20
Ch39 20Ch39 20
Ch39 20
schibu20
 
Ch38 31
Ch38 31Ch38 31
Ch38 31
schibu20
 
Ch37 19
Ch37 19Ch37 19
Ch37 19
schibu20
 

More from schibu20 (20)

Ch39 23
Ch39 23Ch39 23
Ch39 23
 
Ch39 20
Ch39 20Ch39 20
Ch39 20
 
Ch39 17
Ch39 17Ch39 17
Ch39 17
 
Ch39 15
Ch39 15Ch39 15
Ch39 15
 
Ch39 11
Ch39 11Ch39 11
Ch39 11
 
Ch38 35
Ch38 35Ch38 35
Ch38 35
 
Ch38 31
Ch38 31Ch38 31
Ch38 31
 
Ch38 26
Ch38 26Ch38 26
Ch38 26
 
Ch38 24
Ch38 24Ch38 24
Ch38 24
 
Ch38 22
Ch38 22Ch38 22
Ch38 22
 
Ch38 19
Ch38 19Ch38 19
Ch38 19
 
Ch38 17
Ch38 17Ch38 17
Ch38 17
 
Ch38 15
Ch38 15Ch38 15
Ch38 15
 
Ch37 34
Ch37 34Ch37 34
Ch37 34
 
Ch37 29
Ch37 29Ch37 29
Ch37 29
 
Ch37 28
Ch37 28Ch37 28
Ch37 28
 
Ch37 25
Ch37 25Ch37 25
Ch37 25
 
Ch37 23
Ch37 23Ch37 23
Ch37 23
 
Ch37 19
Ch37 19Ch37 19
Ch37 19
 
Ch37 16
Ch37 16Ch37 16
Ch37 16
 

Ch32 26

  • 1. Exercice 26 N = 10 n=5 p = 0, 3 = R N donc R = 0, 3 × 10 = 3 3 7 C3 · C2 1 (a) P(X = 3) = 10 = C5 12 (b) P(X ≤ 2) P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) 3 7 C0 · C5 C3 · C7 C3 · C7 = 10 + 1 10 4 + 2 10 3 C5 C5 C5 1 5 5 11 = + + = 12 12 12 12 (c) E(X ) = n · p = 5 × 0, 3 = 1, 5 (d) V (X ) = N−n N−1 · n · p · (1 − p) = 5 9 × 5 × 0, 3 × 0, 7 = 7 12