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Distribuciones de
probabilidad de variables
aleatorias discretas
Facultad de Ingeniería Civil
Probabilidad y Estadística
Universidad Michoacana de San Nicolás de Hidalgo
02
01
04
03
Dice Infographics
Jupiter
Jupiter is a gas giant and
also the biggest planet in
the Solar System
Mars
Despite being red, Mars
is a very cold planet full
of iron oxide dust
Saturn
Saturn is a gas giant
composed of mostly of
hydrogen and helium
Planet Mercury is the
closest object to the Sun
and also the smallest
Mercury
Distribuciones de probabilidad de una variable aleatoria discreta
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Earth
Earth is the third planet
from the Sun
Planet Mercury is the
closest object to the Sun
Mercury
Distribuciones de probabilidad de una variable aleatoria discreta
Distribución de
Probabilidad
uniforme Discreta
Distribuciones de probabilidad de una variable aleatoria discreta
Distribución de
Bernoulli
Distribución de
Probabilidad
uniforme Discreta
Distribuciones de probabilidad de una variable aleatoria discreta
Distribución de
Bernoulli
Distribución de
Probabilidad
uniforme Discreta
Dice Infographics
Jupiter
Jupiter is a gas giant and
also the biggest planet in
the Solar System
Mercury is the closest
planet to the Sun and
also the smallest one
Mercury
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars
is a cold place full of iron
oxide dust
Mars
Mercury is the
closest planet to
the Sun
Mercury
Dice Infographics
Jupiter is a gas
giant and the
biggest planet
Jupiter
Despite being
red, Mars is a
very cold place
Mars
Neptune is the
farthest planet
from the Sun
Neptune
Probabilidades al lanzar un dado
Probabilidades al lanzar un dado
1/6
1/6
Probabilidades al lanzar un dado
1/6
1/6 1/6
1/6
Probabilidades al lanzar un dado
1/6
1/6 1/6
1/6
1/6
1/6
Probabilidades al lanzar un dado
Representación por tabla o lista
Representación Gráfica
Representación Gráfica
Representación por lista
Determine si la siguiente función es una función de probabilidad
Determine si la siguiente función es una función de probabilidad
Determine si la siguiente función es una función de probabilidad
Mercury is the
closest planet to
the Sun
Mercury
Neptune is the
farthest planet
from the Sun
Neptune
Jupiter is a gas
giant and the
biggest planet
Jupiter
Despite being red,
Mars is a very cold
place
Mars
Dice Infographics
Dice Infographics
Planet Mercury is the
closest object to the Sun
Mercury
Mars
Despite being red,
Mars is a cold place
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Earth
Earth is the third planet
from the Sun
Neptune
Neptune is the farthest
planet from the Sun
Dice Infographics
Venus
Venus has a nice name,
but it’s hot
01 02
Jupiter
Jupiter is a gas giant
and also the biggest
03
Saturn
Saturn is composed of
hydrogen and helium
04
Neptune
Neptune is the farthest
planet from the Sun
Dice Infographics
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn a gas giant made
of hydrogen and helium
Venus
Venus is the second
planet from the Sun
Mars
Despite being red, Mars
is a very cold place
Mercury
Mercury is the closest
planet to the Sun
Earth
Earth is the third planet
from the Sun
01
Neptune
Neptune is the farthest
planet from the Sun
03
Planet Mercury is the
closest object to the Sun
Mercury
02
Mars
Despite being red,
Mars is a cold place
04
Dice Infographics
Dice Infographics
Mars
Despite being red, Mars
is a very cold place
Jupiter
Jupiter is a gas giant
and the biggest planet
Mercury is the closest
planet to the Sun
Mercury Venus
Venus has a beautiful
name, but it’s hot
Dice Infographics
Mercury
Mercury is the closest
planet to the Sun and
also the smallest one
Jupiter
Jupiter is a gas giant
and also the biggest
planet
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mars
Despite being red, Mars
is a very cold place full
of iron oxide dust
Dice Infographics
Earth
Earth is the third planet
from the Sun
01
Neptune
Neptune is the farthest
planet from the Sun
02
Saturn
Saturn is composed of
hydrogen and helium
03
Planet Mercury is the
closest object to the Sun
Mercury
04
Mars
Despite being red,
Mars is a cold place
05
Jupiter
Jupiter is a gas giant
and the biggest planet
06
Dice Infographics
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn a gas giant made
of hydrogen and helium
Venus
Venus has a beautiful
name, but it’s hot
Mars
Despite being red, Mars
is a very cold place
Mercury
Mercury is the closest
planet to the Sun
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Earth
Earth is the third planet
from the Sun
Planet Mercury is the
closest object to the Sun
Mercury
Dice Infographics
Dice
Infographics
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
Saturn
Planet Saturn is a ringed gas
giant composed mostly of
helium and hydrogen
Jupiter
Jupiter is a gas giant and the
biggest planet in the Solar
System. It has many satellites
Earth
Earth is the third planet from
the Sun and the only known
one that harbors life
Dice Infographics
Jupiter
Jupiter is a gas giant and
also the biggest planet in
the Solar System
Mercury is the closest
planet to the Sun and
also the smallest one
Mercury
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars
is a cold place full of iron
oxide dust
Mars
Dice Infographics
Jupiter
Jupiter is a gas giant and
also the biggest planet in
the Solar System
Mercury is the closest
planet to the Sun and
also the smallest one
Mercury
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars
is a cold place full of iron
oxide dust
Mars
Dice Infographics
Mercury is the closest planet to the Sun
and the smallest one 01
Planet Jupiter is a gas giant and the
biggest object in the Solar System 02
Saturn is the ringed planet. It is
composed of hydrogen and helium 03
Despite being red, Planet Mars is a very
cold place full of iron oxide dust 04
Dice Infographics
Mercury is the closest planet to the
Sun and the smallest one Mercury
Planet Jupiter is a gas giant and the
biggest object in the Solar System Jupiter
Saturn is the ringed planet. It is
composed of hydrogen and helium Saturn
Despite being red, Planet Mars is a
cold place full of iron oxide dust Mars
Dice Infographics
Mercury is the closest
planet to the Sun and the
smallest one
Mercury
Mars
Despite being red, Mars
is a cold place full of iron
oxide dust
Neptune
Neptune is the farthest
planet from the Sun and
the fourth-largest
Earth
Earth is the third planet
from the Sun and the
only one that harbors life
Planet Mercury is the
closest object to the Sun
Mercury
01 04
02 05
03 06
Dice Infographics
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Earth
Earth is the third planet
from the Sun and has life
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red, Mars
is a very cold planet
Dice Infographics
Mercury
Dice Infographics
Jupiter
Jupiter is a gas giant
and the biggest planet
Saturn
Saturn is composed of
hydrogen and helium
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Earth
Earth is the third planet
from the Sun
Planet Mercury is the
closest object to the Sun
Mercury
Dice Infographics
Neptune
Neptune is the farthest
planet from the Sun
Mars
Despite being red,
Mars is a cold place
Saturn
Saturn is composed of
hydrogen and helium
Jupiter
Jupiter is a gas giant
and the biggest planet
Mercury is the closest
planet to the Sun and
also the smallest one
Mercury
Despite being red, Mars
is a cold place full of iron
oxide dust
Mars
Jupiter
Jupiter is a gas giant and
also the biggest planet in
the Solar System
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Dice Infographics
2023
Mercury is the closest planet to the Sun
Despite being red, Mars is a cold place
Jupiter is a gas giant and the biggest planet
Saturn is composed of hydrogen and helium
Venus has a nice name, but it’s hot
Dice Infographics

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Distribuciones de probabilidad y estadistica

  • 1. Distribuciones de probabilidad de variables aleatorias discretas Facultad de Ingeniería Civil Probabilidad y Estadística Universidad Michoacana de San Nicolás de Hidalgo
  • 2. 02 01 04 03 Dice Infographics Jupiter Jupiter is a gas giant and also the biggest planet in the Solar System Mars Despite being red, Mars is a very cold planet full of iron oxide dust Saturn Saturn is a gas giant composed of mostly of hydrogen and helium Planet Mercury is the closest object to the Sun and also the smallest Mercury
  • 3. Distribuciones de probabilidad de una variable aleatoria discreta Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a cold place Earth Earth is the third planet from the Sun Planet Mercury is the closest object to the Sun Mercury
  • 4. Distribuciones de probabilidad de una variable aleatoria discreta Distribución de Probabilidad uniforme Discreta
  • 5. Distribuciones de probabilidad de una variable aleatoria discreta Distribución de Bernoulli Distribución de Probabilidad uniforme Discreta
  • 6. Distribuciones de probabilidad de una variable aleatoria discreta Distribución de Bernoulli Distribución de Probabilidad uniforme Discreta
  • 7. Dice Infographics Jupiter Jupiter is a gas giant and also the biggest planet in the Solar System Mercury is the closest planet to the Sun and also the smallest one Mercury Venus Venus has a beautiful name and is the second planet from the Sun Despite being red, Mars is a cold place full of iron oxide dust Mars
  • 8. Mercury is the closest planet to the Sun Mercury Dice Infographics Jupiter is a gas giant and the biggest planet Jupiter Despite being red, Mars is a very cold place Mars Neptune is the farthest planet from the Sun Neptune
  • 18. Determine si la siguiente función es una función de probabilidad
  • 19. Determine si la siguiente función es una función de probabilidad
  • 20. Determine si la siguiente función es una función de probabilidad
  • 21. Mercury is the closest planet to the Sun Mercury Neptune is the farthest planet from the Sun Neptune Jupiter is a gas giant and the biggest planet Jupiter Despite being red, Mars is a very cold place Mars Dice Infographics
  • 22. Dice Infographics Planet Mercury is the closest object to the Sun Mercury Mars Despite being red, Mars is a cold place Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Earth Earth is the third planet from the Sun Neptune Neptune is the farthest planet from the Sun
  • 23. Dice Infographics Venus Venus has a nice name, but it’s hot 01 02 Jupiter Jupiter is a gas giant and also the biggest 03 Saturn Saturn is composed of hydrogen and helium 04 Neptune Neptune is the farthest planet from the Sun
  • 24. Dice Infographics Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn a gas giant made of hydrogen and helium Venus Venus is the second planet from the Sun Mars Despite being red, Mars is a very cold place Mercury Mercury is the closest planet to the Sun
  • 25. Earth Earth is the third planet from the Sun 01 Neptune Neptune is the farthest planet from the Sun 03 Planet Mercury is the closest object to the Sun Mercury 02 Mars Despite being red, Mars is a cold place 04 Dice Infographics
  • 26. Dice Infographics Mars Despite being red, Mars is a very cold place Jupiter Jupiter is a gas giant and the biggest planet Mercury is the closest planet to the Sun Mercury Venus Venus has a beautiful name, but it’s hot
  • 27. Dice Infographics Mercury Mercury is the closest planet to the Sun and also the smallest one Jupiter Jupiter is a gas giant and also the biggest planet Venus Venus has a beautiful name and is the second planet from the Sun Mars Despite being red, Mars is a very cold place full of iron oxide dust
  • 28. Dice Infographics Earth Earth is the third planet from the Sun 01 Neptune Neptune is the farthest planet from the Sun 02 Saturn Saturn is composed of hydrogen and helium 03 Planet Mercury is the closest object to the Sun Mercury 04 Mars Despite being red, Mars is a cold place 05 Jupiter Jupiter is a gas giant and the biggest planet 06
  • 29. Dice Infographics Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn a gas giant made of hydrogen and helium Venus Venus has a beautiful name, but it’s hot Mars Despite being red, Mars is a very cold place Mercury Mercury is the closest planet to the Sun
  • 30. Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a cold place Earth Earth is the third planet from the Sun Planet Mercury is the closest object to the Sun Mercury Dice Infographics
  • 31. Dice Infographics 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 Saturn Planet Saturn is a ringed gas giant composed mostly of helium and hydrogen Jupiter Jupiter is a gas giant and the biggest planet in the Solar System. It has many satellites Earth Earth is the third planet from the Sun and the only known one that harbors life
  • 32. Dice Infographics Jupiter Jupiter is a gas giant and also the biggest planet in the Solar System Mercury is the closest planet to the Sun and also the smallest one Mercury Venus Venus has a beautiful name and is the second planet from the Sun Despite being red, Mars is a cold place full of iron oxide dust Mars
  • 33. Dice Infographics Jupiter Jupiter is a gas giant and also the biggest planet in the Solar System Mercury is the closest planet to the Sun and also the smallest one Mercury Venus Venus has a beautiful name and is the second planet from the Sun Despite being red, Mars is a cold place full of iron oxide dust Mars
  • 34. Dice Infographics Mercury is the closest planet to the Sun and the smallest one 01 Planet Jupiter is a gas giant and the biggest object in the Solar System 02 Saturn is the ringed planet. It is composed of hydrogen and helium 03 Despite being red, Planet Mars is a very cold place full of iron oxide dust 04
  • 35. Dice Infographics Mercury is the closest planet to the Sun and the smallest one Mercury Planet Jupiter is a gas giant and the biggest object in the Solar System Jupiter Saturn is the ringed planet. It is composed of hydrogen and helium Saturn Despite being red, Planet Mars is a cold place full of iron oxide dust Mars
  • 36. Dice Infographics Mercury is the closest planet to the Sun and the smallest one Mercury Mars Despite being red, Mars is a cold place full of iron oxide dust Neptune Neptune is the farthest planet from the Sun and the fourth-largest Earth Earth is the third planet from the Sun and the only one that harbors life
  • 37. Planet Mercury is the closest object to the Sun Mercury 01 04 02 05 03 06 Dice Infographics Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Earth Earth is the third planet from the Sun and has life Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a cold place
  • 38. Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a very cold planet Dice Infographics Mercury
  • 39. Dice Infographics Jupiter Jupiter is a gas giant and the biggest planet Saturn Saturn is composed of hydrogen and helium Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a cold place Earth Earth is the third planet from the Sun Planet Mercury is the closest object to the Sun Mercury
  • 40. Dice Infographics Neptune Neptune is the farthest planet from the Sun Mars Despite being red, Mars is a cold place Saturn Saturn is composed of hydrogen and helium Jupiter Jupiter is a gas giant and the biggest planet
  • 41. Mercury is the closest planet to the Sun and also the smallest one Mercury Despite being red, Mars is a cold place full of iron oxide dust Mars Jupiter Jupiter is a gas giant and also the biggest planet in the Solar System Venus Venus has a beautiful name and is the second planet from the Sun Dice Infographics 2023
  • 42. Mercury is the closest planet to the Sun Despite being red, Mars is a cold place Jupiter is a gas giant and the biggest planet Saturn is composed of hydrogen and helium Venus has a nice name, but it’s hot Dice Infographics