2. Distribución exponencial
Us
o
Se utilizan como modelo para representar tiempos de
funcionamiento
• Cálculo del tiempo de espera en ser atendido en un
banco
• Tiempo necesario para cargar un camión
• Tiempo de vida de un componente.
Us
o
Considerar...
Si está en condiciones ideales este modelo exponencial describe de
manera adecuada la distribución del tiempo entre dos averías de un
producto reparable
Distribución exponencial
3. Para calcular sus probabilidades, hay que tener en cuenta lo siguiente:
La función de densidad de probabilidad se define como:
La media se representa como:
La varianza se representa como:
4. Probabilidad de que x sea menor o igual que x0
Probabilidad de que x sea mayor o igual que x0
1
2
5. El tiempo que tarda para cargar un camión obedece a una distribución exponencial.
La media del tiempo de espera para cargarlo es de 15 minutos.
Ejercicio 1
a). ¿ Cual es la probabilidad de que la carga de un camión dure 6 minutos o menos?
6. b). ¿ Cual es la probabilidad de que la carga de un camión dure 18 minutos o menos?
c). ¿ Cual es la probabilidad de que la carga de un camión dure de 6 a 18 minutos?
7. Ejercicio 2
Una variable aleatoria x se distribuye de manera exponencial X-exp
a). Calcule la media y la varianza
8. b). Calcula la probabilidad de que sea menor o igual a 1
c). Calcula la probabilidad de que sea mayor o igual a 2
9. Ejercicio 3
El tiempo de vida de un paciente tras haber recibido un tratamiento medico es de 5 años.
Si el tiempo de vida se distribuye de manera exponencial, ¿cual es la probabilidad de que
el paciente supere 10 años de vida tras suministrar el tratamiento?
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11. Table of contents
Our teaching
method
You can describe the
topic of the section here
01
Our academic
areas
You can describe the
topic of the section here
02
Enrollment
process
You can describe the
topic of the section here
03
Meet our
teachers
You can describe the
topic of the section here
04
Favourite genres
You can describe the
topic of the section here
05
Our last words
You can describe the
topic of the section here
06
12. Table of contents
Our academic
areas
You can describe the topic
of the section here
Enro
llme
nt
proc
ess
Meet our
teachers
You can describe the topic
of the section here
You can describe the topic
of the section here
You can describe the topic
of the section here
13. Introduction
Korean literature is a collection of works written by
Koreans, initially in Classical Chinese, then in various
transcription systems based on Chinese characters, and
finally in Hangul, the national alphabet
14. You can give a brief description
of the topic you want to talk
about here. For example, if you
want to talk about Mercury
About us
15. Venus has a beautiful name and is the second planet from the
Sun. It’s terribly hot, even hotter than Mercury, and its
atmosphere is extremely poisonous. It’s the second-brightest
natural object in the night sky after the Moon
Our book club
16. —Someone Famous
“This is a quote, words full of wisdom
that someone important said and can
make the reader get inspired.”
17. —Someone Famous
“This is a quote, words full of wisdom that
someone important said and can make the
reader get inspired.”
19. There are four major types of traditional poetry:
● Hyangga (native songs)
● Pyŏlgok (special songs)
● Sijo (current melodies)
● Kasa (verses)
Korean poetry was created with the intention of being sung, and its forms and
styles reflect this. A line of alternating groups of three or four syllables forms the
basis of its prosody, which is undoubtedly the most natural rhythm in the
language
Traditional forms and genres
20. Korean literature
Korean literature is a body of work written by Koreans, primarily in Korean
but occasionally in Classical Chinese. It was written in Hanja for much of
Korea's 1,500-year literary history. It is usually separated into two periods:
classical and modern, however this distinction is not always evident
Basic principles
21. Our teaching method
Goals
Mercury is the
closest planet to the
Sun and the
smallest
Activities
Venus is the second
planet from the Sun
and is terribly hot
Feedback
Despite being red,
Mars is actually a
cold place
23. Reading tips
Summarize
Earth is the planet
where we live on
Re-reading
Neptune is far away
from Earth
Visualize
Despite being red, Mars
is a cold place
25. Mercury
It’s the closest planet to the
Sun and the smallest in the
Solar System
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mars
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
What sets us apart
26. Mercury
It’s the closest planet to the Sun and
the smallest in the Solar System
Venus
Venus has a beautiful name and is
the second planet from the Sun
Main genres
27. Most popular genres
Mars is actually a very
cold place
It’s the farthest planet
from the Sun
Mars
Neptune
Venus
Venus is the second
planet from the Sun
Saturn
It’s composed of
hydrogen and helium
28. Prose
Neptune is the farthest planet from the
Sun and the fourth-largest
Fiction
Jupiter is a gas giant and the biggest
planet in the Solar System
Literature
Despite being red, Mars is actually a cold
place. It's full of iron oxide dust
The curriculum
29. Animism
Mercury is the
smallest planet
Buddhism
Venus is the second
planet from the Sun
Confucianism
Mars is actually a
very cold place
Some important themes
Shamanism
Jupiter is the
biggest planet
Chrianisty
Saturn is a gas giant
and has rings
Yangban
Neptune is very far
away from us
30. Mercury
It’s the closest planet
to the Sun
Venus
It’s the second planet
from the Sun
Mars
Mars is actually a very
cold place
Other main topics
Jupiter
It’s the biggest planet
of them all
Saturn
Saturn is a gas giant
and has rings
Neptune
It’s the farthest planet
from the Sun
31. Mission
Mercury is the closest planet to the Sun
and the smallest one in the Solar
System—it’s only a bit larger than the
Moon
Vision
Venus has a beautiful name and is the
second planet from the Sun. It’s hot and
has a poisonous atmosphere
Our mission and vision
32. Loyalty
Venus is the second
planet from the Sun
Efficiency
Jupiter is the biggest
planet of them all
Our values
Reliability
Despite being red, Mars
is a cold place
Commitment
Saturn is a gas giant
and has several rings
33. Mercury
Saturn is a gas giant
Don’t forget
Venus
Jupiter is a big planet
Mars
Mars is a cold planet
Jupiter
We all live on Earth
Saturn
Venus is a hot planet
36. A picture always
reinforces the
concept
Images reveal large amounts of data, so
remember: use an image instead of a long
text. Your audience will appreciate it
37. A picture always reinforces
the concept
Images reveal large amounts of data, so remember: use an image
instead of a long text. Your audience will appreciate it
40. Title A
“Venus is the second
planet from the Sun”
Title B
“Saturn is a gas giant and
has many rings”
Title C
“Mars is red but actually a
very cold place”
Our best reviews
44. Our success
Mercury is the closest planet to the
Sun and the smallest of them all
80%
Venus has a beautiful name and is
the second planet from the Sun
50%
Despite being red, Mars is actually
a cold place. It’s full of iron oxide
dust
75%
The Sun is the star at the center of
the Solar System
25%
Hyangga
Changga
Pyŏlgok
Kasa
45. Most popular books
Book 1
25%
Book 2
30%
Book 3
45%
Mercury is the closest
planet to the Sun
Venus is the second
planet from the Sun
Despite being red, Mars
is actually a cold place
47. Korean literature
Goryeo
Venus has a beautiful
name
Hyangga
Mars is actually very cold
Sijo & gasa
Neptune is far away from
us
25%
30%
45%
Follow the link in the graph to modify its data and then
paste the new one here. For more info, click here
48. Book opinions
Despite being red,
Mars is a cold place
Venus
Venus is the second
planet from the Sun
Jupiter
It’s the biggest planet
in the Solar System
Mars Saturn
Saturn is a gas giant
and has several rings
Follow the link in the graph to modify its data and then paste the new one here. For more info, click
here
15% 20%
30% 35%
50. Anna McKane
You can speak a bit about
this person here
Jenna Doe
You can speak a bit about
this person here
Jane Smith
You can speak a bit about
this person here
Our teachers
51. Anna Smith
You can speak a bit
about this person here
John Bones
You can speak a bit
about this person here
Our team
Jenna Doe
You can speak a bit
about this person here
Linda Lee
You can speak a bit
about this person here
52. Goal 1
Mercury is the closest
planet to the Sun and the
smallest in the Solar
System
Goal 2
Venus has a beautiful
name and is the second
planet from the Sun
Goal 3
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
Our goals
53. Saturn
Saturn is composed of
hydrogen and helium
Neptune
It’s the farthest planet
from the Sun
Upcoming publications
Venus
Venus is the second
planet from the Sun
Mars
Despite being red, Mars
is actually a very cold
place
June 10th June 22th
July 12th July 20th
54. Student progress
Mars is actually a very
cold place
Neptune is the farthest
planet from the Sun
5th term
4th term
1st term
Mercury is the closest
planet to the Sun
2nd term
Venus is the second
planet from the Sun
3rd term
Saturn is composed of
hydrogen and helium
55. Enrollment process
Step 1
Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
Step 2
Venus has a beautiful
name and is the second
planet from the Sun
Step 3
Mercury is the closest
planet to the Sun and the
smallest in the Solar
System
56. Next activities
Day 5
Saturn is the
ringed planet
Day 4
Mercury is the
smallest planet
Day 3
Venus has a
beautiful name
Day 2
Mars is actually
a cold place
Day 1
Jupiter is the
biggest planet
58. Our libraries and centers
History library
Venus is the second
planet from the Sun
Classic
literature
Neptune is very far
away from Earth
Poetry library
Earth it is the place
where we live on
Main offices
Saturn is composed of
hydrogen and helium
59. Next events
Classic literature
Neptune is very far away from Earth
Poetry library
Earth it is the place where we live on
Main offices
Saturn is a gas giant and has rings
61. Featured books
Title Genre
You can add here the book title you want to
review
Romance
You can add here the book title you want to
review
Drama
You can add here the book title you want to
review
Thriller
You can add here the book title you want to
review
Horror
You can add here the book title you want to
review
Fantasy
62. Mon Tue Wed Thu Fri Sat Sun
01 02 03 04 05 06 07
08 09 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31
Monthly activities
Mercury is the
smallest planet
Venus has a
beautiful name
Despite being red,
Mars is cold
August 2022
Mars
Venus
Mercury
64. To do
● You can add important things to do
● You can add important things to do
● You can add important things to do
● You can add important things to do
● You can add important things to do
Don’t forget
● You can add things to remember
● You can add things to remember
● You can add things to remember
● You can add things to remember
● You can add things to remember
Special reminders
65. ● You can add here important tips to remember
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● You can add here important tips to remember
● You can add here important tips to remember
● You can add here important tips to remember
● You can add here important tips to remember
● You can add here important tips to remember
Great tips
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70. Infographics resources
Jupiter
Saturn
Mercury
It’s the closest planet to the
Sun and the smallest one
It’s a gas giant and the biggest
planet in the Solar System
Saturn is composed mostly of
hydrogen and helium
Mars
Despite being red, Mars is
actually a very cold place
Saturn is a gas giant
and has rings
Mercury is the closest
planet to the Sun
Venus
Venus is the second
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Saturn Mercury
01
03
02
04
Venus is the second
planet from the Sun
Jupiter is the biggest
planet of them all
Despite being red,
Mars is a cold place
Mars Venus
Jupiter
Mars
Venus Mercury
Saturn
Mercury is the closest
planet to the Sun
Despite being red,
Mars is a cold place
Saturn is a gas giant
and has rings
Venus is the second
planet from the Sun
71. Here’s an assortment of alternative resources whose style fits that of this template:
Photos
● Beautiful arrangement of different books
● Creative assortment for world book day
● Creative world book day arrangement
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● Creative composition for world book day I
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● Close-up stack of books
● Beautiful composition of different books
● Front view composition with different books
Alternative resources
72. Here’s an assortment of alternative resources whose style fits that of this template:
Photos
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● Front view of books with copy space for education day
● Medium shot woman with book and cup
Premium alternative resources
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● Female teacher at desk
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74. Premium resources
Did you like the resources on this template? Get them for free at our other websites:
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2016 2017 2018 2019 2020
“Despite being red,
Mars is actually a
very cold place”
“Mercury is closest
planet to the Sun
and the smallest”
“Neptune is the
farthest-known
planet from the Sun”
“Saturn is a gas
giant and has
several rings”
“Venus is the
second planet from
the Sun and is
terribly hot”
Premium infographics
93. “Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
“Mercury is closest
planet to the Sun
and the smallest”
TITLE 1
75%
75%
Premium infographics
