Upload
mery-elizabeth
View
232
Download
0
Embed Size (px)
Citation preview
8/16/2019 Deber de Variables Aleatorias Discretas
1/17
Determine, con un nivel
"0 9
"# "$ &
9 "'
# "'
"' ""
9 "#
""
9 9
& 9
()*+-/!' 1
# $
2 &
9
"0 ""
"' "1
"# "$
"2 "&
" "9
Clase Frecuencia
1 '
$ "0
& "0
9 '1
"" '$
"1 "$
"$ "1
"& "
"9 "
3 ma3or... 0
8/16/2019 Deber de Variables Aleatorias Discretas
2/17
de confanza de 90%, qué tipo de distribución siguen los datos. Use la prueba d
"0 9 "1 "0
"" 2 "' "0 $ "0 9 "0 "0 $
"$ & $ 9 "# "'
"1 & & & " $
"# 9 "1 "# "0 "0
"" $ "" ' "0 "$
$ 9 "" "" & "0
# 9 "1 "'
"1 "0 "" 2 9 "0
4 4 4+ 54+45' 0.0' 0.0' 0.0"" 0.009
"0 0."0 0."' 0.020 0.020
"0 0."0 0.'' 0."$ 0.02'
'1 0.'1 0.#$ 0.'#" 0.'09
'$ 0.'$ 0.&0 0.'1 0.#2'
"$ 0."$ 0.$ 0."2# 0.22
"1 0."1 0.9 0.01 0.9&
" 0.0" 0.99 0.01' 0.9$
" 0.0" ".00 0.0"0 0.990
"00
0
"0
'0
10
Histograma
6recuencia
Clase
Frecuencia
8/16/2019 Deber de Variables Aleatorias Discretas
3/17
e Kolmogorov!mirnov.
"2 "1 )(-+/ D+ 7)6()8 0.90
9 "' a 0."1 "1 n "00
"" "0 ma "
9 "0 min '
"0 "$ "2
# "$ m "0
"1 $ ".2
"$ "$ 9.90
"$ &
:o; tiene una distribucion de poison:"; tien otra distribucion
7 0.990
K! 0."''
8/16/2019 Deber de Variables Aleatorias Discretas
4/17
INTERVALO O P(x) E=n.P(x) (EO)!"#E
0 0 0.0009&2$2 0.09&2$2'$ 0.09&2$2'$
" 0 0.009&2$21 0.9&2$2'$ 0.9&2$2'$' # 0.0#19#$1" #.19#$1"'$ 0.01$#'0"#
1 2 0.""&"&$ "".&"&$ '.&90&$
# " 0.'0$0&"1 '0.$0&"'$ 0.1022292#
$ '& 0.'#2091&$ '#.2091&$ 0.'1''1'"#
2 '' 0.'0$0&"1 '0.$0&"'$ 0."0$#
& "' 0.""&"&$ "".&"&$ 0.002&$
"0 0.0#19#$1" #.19#$1"'$ &."$002"
9 " 0.009&2$21 0.9&2$2'$ 0.000$2'$
"0 0 0.0009&2$2 0.09&2$2'$ 0.09&2$2'$
"00 " "".0'9'02
:o; el con
8/16/2019 Deber de Variables Aleatorias Discretas
5/17
N "0
% 0.$
& 0.$NIVEL 'E CONFIANA 0.90
0."0
m ""
C "".0'9'02"$.9&"&9'
mial
u3en de acuerdo con la
""
@AA B"CC';
@A B"CC'
8/16/2019 Deber de Variables Aleatorias Discretas
6/17
INTERVALO O P(x) (P(x)) (P(x)O)!"#P(x)
" "1 "2.222& 1.222& 0.02&
' "# "2.222& '.222& 0.#'2&1 " "2.222& ".1111 0."02&
# "# "2.222& '.222& 0.#'2&
$ '" "2.222& #.1111 "."'2&
2 '0 "2.222& 1.1111 0.222&
"00
Determine, con un nivel de confanza de 90%, si los datos se distribu3distribucion uni>orme discreta A"2C.
" ' 1 # $
0
$
"0
"$
'0
'$
:istograma
8/16/2019 Deber de Variables Aleatorias Discretas
7/17
n "00
% 0.$
& 0.$NIVEL 'E CONFIANA 0.90
0."0
m 2
C 1.$2009.'121$29
n de acuerdo con una
@AA B"CC';
2
8/16/2019 Deber de Variables Aleatorias Discretas
8/17
4AC 4AC 4
0 0.00& 0.00& 1 0.0"$0" 0.01# 0.0#0 1 0.0"$0
' 0.0# 0."'$ "2 0.000
1 0."#0 0.'2$ '0 0."000
# 0."&$ 0.##0 1 0."900
$ 0."&$ 0.2"2 1 0."900
2 0."#2 0.&2' 1$ 0."&$0
& 0."0# 0.2& "& 0.0$0
0.02$ 0.91' "1 0.02$0
9 0.012 0.92 "" 0.0$$0
"0 0.0" 0.92 2 0.0100'00
:! /+*( 4E+D( AC
" 0.#''$ # #
' 0.10'9 # #
1 0.0""& " 1
# 0.22#$ 2 1.&$
$ 0.#00 # 1.
2 0.$$0 $ #
& 0.$0"& $ #."#'$&"#'9
0.'9$9 # #."'$
9 0.' 2 #.1111111111
"0 0."&'& 1 #.'
"" 0.&20 2 #.1212121212
"' 0.###0 $ #.#"2222222&
"1 0.02$# ' #.'10&29'10
"# 0.#9#1 $ #.'$&"#'$&
"$ 0.&$2 & #.#22222222&
"2 0."9 & #.2'$
"& 0.02'2 ' #.#&0$'1$1
" 0.&20 & #.2"""""""""
"9 0.$&'& $ #.21"$&9#
'0 0.1'&1 # #.2
'" 0."$9" 1 #.$'109$'1
'' 0.$##" $ #.$#$#$#$#$$
'1 0.29 2 #.2029$2$''
'# 0.2$0" 2 #.222222222&
'$ 0.'21 # #.2#
'2 0."'#" ' #.$1#2"$1$
!imular el proceso de >abricacion de televisores, cu3o promedio es de $ tel!imular por '00 Foras. 7uantos televisores se >abricaran en '00 Foras 3 cu
00.000
0.0'0
0.0#0
0.020
0.00
0."00
0."'0
0."#0
0."20
0."0
0.'00
0.0200
0.000
0."000
0."'00
0."#00
0."200
0."000.'000
8/16/2019 Deber de Variables Aleatorias Discretas
9/17
'& 0.''"# 1 #.#"#"#"$
' 0.$'0# $ #.$
'9 0.#'&2 # #.#'&$2'0&
10 0.9""1 #.2
1" 0.9&92 "0 #.&"91$##
1' 0.#19 # #.&$
11 0."$2" 1 #.29292929&1# 0.##1$ $ #.&0$'1$'9
1$ 0.$&$2 $ #.&"#'$&"#1
12 0.&"2 2 #.&$
1& 0.#09& # #.&'9&'9&'9&
1 0.'#02 1 #.2#'"0$'21
19 0."10 1 #.2#"0'$2#"
#0 0.$2&2 $ #.2$
#" 0.10&9 # #.21#"#21#"$
#' 0.9#1 9 #.&109$'1"
#1 0.20 2 #.&2#"20$## 0.1912 # #.&$
#$ 0.9$'2 9 #.#########
#2 0.2$ 2 #.29$2$'"
#& 0.2&2# 2 #.912"&0'"1
# 0.2'$ 2 #.9"2222222&
#9 0.$#' $ #.9"12&1#29
$0 0.1'#0 # #.9
$" 0.9&01 "0 $
$' 0.#"10 # #.90&29'10
$1 0.$0"# $ #.9""1'0&$$
$# 0.2'2 2 $
$$ 0.2' $.0$#$#$#$#$
$2 0.$2& $ $.0$1$&"#'2
$& 0.1"#0 # $.01$0&&"91
$ 0.#""2 # $.0"&'#"1&91
$9 0.&&29 & $.0$0#$&2
20 0.#&& $ $.0$
2" 0.21## 2 $.02$$&1&&0$
2' 0.9 $.""'901''$
21 0.&921 & $."#'$&"#'9
2# 0.$0$ $ $."#02'$
2$ 0.2''' 2 $."$1#2"$1
22 0.$1'$ $ $."$"$"$"$"$
2& 0.9190 9 $.'09$$''19
2 0.2"&9 2 $.''0$'1$1
29 0.&$10 2 $.'1"#0$
&0 0.$$&0 $ $.''$&"#'2
&" 0.0&00 ' $."109$9"$
00.0000
0.0'00
0.0#00
8/16/2019 Deber de Variables Aleatorias Discretas
10/17
&' 0.2"$9 $ $."0$$$$$$2
&1 0.9#21 9 $.'1'&2&"'1
0.192 # $.'"2'"2'"2'
&$ 0.0$ & $.'#
&2 0.#&"0 $ $.'12#'"0$1
&& 0.&&1 & $.'$9'$9&
& 0.92&& 9 $.10&29'10&&&9 0.'0"2 1 $.'&#"0"'&
0 0.1&1& # $.'2'$
" 0.$1'" $ $.'$9'$9'$91
' 0."00& ' $.'"9$"'"9$"
1 0.'210 1 $."9'&&"0#1
# 0.1&'1 # $."&$&"#'2
$ 0.&$2# 2 $."'1$'9#"
2 0.1&9 # $."#"20#&
& 0.$'01 $ $."&'#"1&91"
0.&0'$ 2 $."""""9 0.19& # $."2$191'$
90 0.9'& "0 $.''''''''''
9" 0.29#2 2 $.'10&29'10
9' 0.99& "0 $.''2029$&
91 0.1"'& # $.'2"&'0#1
9# 0.'#"9 1 $.'##20$""
9$ 0."'"# ' $.'"0$'21"$
92 0.110 # $."9&9"2222&
9& 0.000# 0 $."##1'9929
9 0.90$ $."&1#291&
99 0.'$$# 1 $."$"$"$"$"$
"00 0.9"'1 $."
"0" 0.22$ 2 $."""""9
"0' 0.'$$$ 1 $."22222222&
"01 0.0'9 " $."'2'"1$9''
"0# 0.#1#9 # $.""$1#2"$#
"0$ 0.$#&2 $ $.""#'$&"#1
"02 0.$"2 $ $.""1'0&$#&'
"0& 0.21 $."#0"29"$9
"0 0.22$9 2 $."#"#"#"
"09 0.'00 1 $."'##012&
""0 0.19$ # $."""""'
""" 0.&9# $."##"##"##"
""' 0.$'0" $ $."#'$&"#'9
""1 0.#'&1 # $."1'p'
""# 0."""2 ' $."0$'21"$&9
""$ 0.$90 & $."'"&19"10#
""2 0.$#2" $ $."'0292$$'
8/16/2019 Deber de Variables Aleatorias Discretas
11/17
""& 0.2"$$ $ $.""92$""9&
"" 0.2##1 2 $."'&""2##"
""9 0.919$ 9 $."$92212$$
"'0 0.#091 # $."$
"'" 0.0$"& ' $."'19229#'"
"'' 0.#19 & $."191##'2'1
"'1 0.#"99 # $."100"100"'# 0.&2$0 & $."#$"2"'901
"'$ 0.#'9 $ $."##
"'2 0."##& 1 $."'29#"'&
"'& 0.9"29 $."#9202'99'
"' 0.#1& & $."2#02'$
"'9 0.' # $."$$01&$9&
"10 0.##$ & $."29'10&29'
"1" 0.02&2 ' $."#$01"2&9
"1' 0.#1"$ # $."12121212#
"11 0.$201 $ $."1$111#$9"1# 0.2'& 2 $."#"&9"0##
"1$ 0.#" # $."111111111
"12 0.#""9 # $."'$
"1& 0.#209 $ $."'#0&$9"'
"1 0.0"'# " $.09#'0'92
"19 0.01' ' $.0&"9#'##2
"#0 0.0#2' ' $.0$
"#" 0.&90 & $.021'9&&'
"#' 0.0$10 ' $.0#''$1$'""
"#1 0." $.02'91&02'9
"## 0.9"" $.011111111
"#$ 0.9&1$ "0 $.""&'#"1&91
"#2 0.090 ' $.09$90#""
"#& 0.&1#2 2 $."0'0#0"21
"# 0.001" 0 $.02&$2&$2&2
"#9 0.9$$' 9 $.0919$9&1"$
"$0 0.&$$& 2 $."
"$" 0.&9#1 & $.""'$'&"$
"$' 0.91&2 9 $."1"$&9#&
"$1 0.91' 9 $."211929'
"$# 0.$92 & $."&$1'#2&$1
"$$ 0.210 2 $."02#$"2"1
"$2 0.2# 2 $."$9$9
"$& 0.$""0 $ $."#&"11&$
"$ 0.1" # $."&&'"$"99
"$9 0.#'&& # $."29""1'0
"20 0.&10 $."&$
"2" 0.&0'& 2 $."9'$#2$19
8/16/2019 Deber de Variables Aleatorias Discretas
12/17
"2' 0.$$9" $ $."9"1$0'#&
"21 0.2$0# 2 $."921"90"#
"2# 0."1# 1 $."'9'2'91
"2$ 0.$#$" $ $."""""
"22 0.#"$$ # $."&9$'
"2& 0.9$20 9 $."9&20#&90#
"2 0.&& 2 $.'0'109$'#"29 0.&2 & $.'"10"&&$"$
"&0 0."$# 1 $.'
"&" 0.2#&& 2 $.'0#2&12'2
"&' 0.$## $ $.'01#1&'"
"&1 0.1#' # $."92$1"&9"9
" 0.'02$ 1 $."1900#2
"&$ 0.9220 9 $.'0$&"#'$&
"&2 0.0002 0 $."&2"121212
"&& 0.99#2 "0 $.'011910$
"& 0."191 1 $."9"0""'12"&9 0.#&9 $ $."99##"1#"
"0 0.&"20 2 $."9########
"" 0."0'2 ' $."&2&9$$0"
"' 0."'02 ' $."$91#02$91
"1 0.#09# # $."$100$#2#$
"# 0.220 & $."210#1#&1
"$ 0.1$11 # $."$2&$2&$2
"2 0."&$ 1 $."#$"2"'901
"& 0.'&'1 # $."1901'
" 0.&12 $."$#'$$1"9"
"9 0."9"1 1 $."#'$&"#'9
"90 0.#21 $ $."#'"0$'21'
"9" 0.00 ' $."'$2$##$01
"9' 0.''2$ 1 $.""#$11111
"91 0.9"' $."'9$112&
"9# 0.&00 2 $."1#0'02"2
"9$ 0.$#09 $ $."111111111
"92 0.291# 2 $."1&&$$"0'
"9& 0.$$$ $ $."1&0$$1&2
"9 0.$2 $ $."12121212#
"99 0.&2"' 2 $."#0&01$"&2
'00 0.&$1$ 2 $."#$
"0'9
numero de televisores en '00 Foras
8/16/2019 Deber de Variables Aleatorias Discretas
13/17
4 media $.0000
0.0"$00.0100
0.""00
0.'"00
0.#000
0.$900
0.&2$0
0.$00
0.9"$0
0.9&00
".0000
visiores por Fora 3 cu3a distribucion es 4oisson.l es el promedio de >abricacion por Fora.
C(
" ' 1 # $ 2 & 9 "0
Ds de poison con datos Fistoricos
Ds de poison con datos simulados
8/16/2019 Deber de Variables Aleatorias Discretas
14/17
" ' 1 # $ 2 & 9 "0
8/16/2019 Deber de Variables Aleatorias Discretas
15/17
8/16/2019 Deber de Variables Aleatorias Discretas
16/17
8/16/2019 Deber de Variables Aleatorias Discretas
17/17