Guía de ejercicios - Distribución Normal
docx
keyboard_arrow_up
School
Universidad de Santiago de Chile *
*We aren’t endorsed by this school
Course
AUDITING
Subject
Statistics
Date
Nov 24, 2024
Type
docx
Pages
2
Uploaded by DrFangChimpanzee23
Guía de ejercicios – Distribución Normal
1)
La media de los pesos de los estudiantes de un colegio es de 70 kg y la desviación
estándar de 3 kg. Suponga que los pesos se distribuyen normalmente, hallar la
probabilidad de que los estudiantes pesen:
a)
Menos de 64 kg.
b)
Más de 80 kg.
c)
Entre 60 y 75 kg.
2)
Tras una prueba de cultura general se observa que las puntuaciones obtenidas
siguen una distribución normal
N
(
65,324
)
. Se desea clasificar a los examinados
en tres grupos distintos (baja cultura general, cultura general aceptable y excelente
cultura general) de modo que hay en el primero un 20% de la población, un 65% en
el segundo y un 15% en el tercero. ¿Cuáles han de ser las puntuaciones que marcan
el paso de un grupo a otro?
3)
Considere una población de recién nacidos, en los cuales interesa estudiar la
variable estatura. Suponga que la estatura de los recién nacidos es una variable
aleatoria con distribución normal con media 50 cm y desviación estándar 2 cm.
a)
¿Cuál es la probabilidad de que un niño mida menos de 45 cm al nacer?
b)
¿Cuál es la probabilidad de que un niño al nacer mida a lo menos 52 cm?
c)
¿Qué porcentaje de recién nacidos mide entre 48 y 52 cm?
d)
¿Con cuántos centímetros a lo más nacen el 80% de los niños?
4)
En una prueba que mide el coeficiente intelectual de una población, se obtiene que
la variable se distribuye normalmente con media igual a 100 y desviación típica 15.
a)
Determinar el porcentaje de población que obtendría un coeficiente entre 95
y 110.
b)
¿Qué intervalo centrado en 100 contiene al 50% de la población?
Respuestas:
1)
a)
0,0228
b)
0,0004
c)
0,9511
2)
Baja cultura general hasta los 49 puntos, cultura general aceptable entre 50 y 83
puntos, excelente cultura general a partir de los 84 puntos.
3)
a)
0,0062
b)
0,1587
c)
68,26%
d)
51,7 cm
4)
a)
0,3747
b)
Entre 90 y 110 está el 50% central de la población.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Documents
Related Questions
¿Cuál es el área de la superficie de este cilindro?
Usa A = 3.14 y redondea tu respuesta a la centésima más cercana.
10,4
yardas
10,8
yardas
yardas cuadradas
Enviar
arrow_forward
6)
A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is
1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water
on one of the trapezoidal sides of the pool?
0.00
arrow_forward
47. The cross sectional area of the cylinder underneath the
car is 700 cm2 and the cross sectional area of the
cylinder at the end with the air compressor is 8 cm². If a
car is lifted by a force of 2,800 kg, what force should be
exerted by the air compressor?
a) 32 kg
b) 28 kg
c) 24 kg
d) 20 kg
arrow_forward
8)
arrow_forward
Un kilogramo de uva vale 48 pesos ¿cuanto se deberá pagar por las siguientes cantidades?
arrow_forward
12 cm
find volume
10cm
12cm
2017
Chuy
↑
a) 480 c
6) 720cm ³
ст
3
C) 147,3 cm³
a) 40cm
3
arrow_forward
Determine the work done if an electric hoist lifts 2500 -pound car 6 feet.
arrow_forward
In una leva di primo genere in equilibrio,la potenza è il quadruplo della resistenza aumentata di 5 kg e i bracci sono rispettivamente di 6 m e 26 m. Calcola la potenza e la resistenza. [15 kg;65 kg]
arrow_forward
A force of 10 lb is required to hold a spring stretched 4 inches beyond its natural length. How
much work is done in stretching it from its natural length to 6 inches beyond its natural length?
(Hint: 1 ft- 12 in)
45 ft-lbs
3.75 ft-lbs
22.5 ft-lbs
7.5 ft-lbs
arrow_forward
Geometry Unit 3
mutoy
5)
6)
22 m
Volume =
35m
arrow_forward
VOLUME OF CONES
13 cm
10 cm
10)
5 cm
10 cm
V =
cm3
V =
cm3
13 сm
9 cm
11)
4 cm
8 cm
V =
ст3
V =
cm3
arrow_forward
A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 150 ft", how many gallons of paint must be bought
in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.
團
14 ft
gallons
22 ft
14 ft
14 ft
Submit Assignment
Save For Later
Check
2021 McGraw-Hill Education. All Rights Reserved Terms of Use Privacy Accessibility
arrow_forward
Volume =
Volume =
Volume =
9)
8)
7)
20 ft
4 yd
19 yd
13 ft
11 in
Volume =
Volume =
Volume =
P8 yd
14 in
.......rt
16 ft
arrow_forward
The mass of eight apples is 1200g. What is the average mass of one apple in kilograms
arrow_forward
10) An aquarium is a rectangular prism that is 12 feet long, 4 feet wide, and 4 feet deep is full
of water. Find the work needed to pump all of the water out of the aquarium. (Water weighs 62.5
Ib/ft*.)
4 ft
4 ft
12 ft
arrow_forward
13. A cylindrical tank has a height of 3 m and an outer diameter of 10 m. Its walls are 20 cm thick. Tank trucks carrying 5,000 liters of water are used to fill it. Estimate how many trucks should be used to fill the tank.
arrow_forward
Find the surface area of each of
the following figures using the
given values.
arrow_forward
New Area of Quadrilaterals (Isosceles Trapezoids and Kites): Find each area
arrow_forward
A rectangular prism and its net are shown below.
The top and bottom of the prism are shaded.
(All lengths are in centimeters.)
(a) Find the following side lengths for the net.
A =
cm
B =
cm
4
10
C =
cm
D = ]en
A
cm
(b) Use the net to find the lateral surface area of the
prism. Neither the top nor bottom is included.
cm
Check
© 2021 McGraw
hp
arrow_forward
18) A 100-kg person sits on a 5-kg bicycle. The total weight is borne equally by the two
wheels of the bicycle. The tires are 2.0 cm wide and are inflated to a gauge pressure of
8.0 × 105 Pa. What length of each tire is in contact with the ground?
B) 1.6 cm
C) 6.4 cm
A) 1.8 cm
D) 3.2 cm
E) 2.4 cm
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Related Questions
- ¿Cuál es el área de la superficie de este cilindro? Usa A = 3.14 y redondea tu respuesta a la centésima más cercana. 10,4 yardas 10,8 yardas yardas cuadradas Enviararrow_forward6) A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is 1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water on one of the trapezoidal sides of the pool? 0.00arrow_forward47. The cross sectional area of the cylinder underneath the car is 700 cm2 and the cross sectional area of the cylinder at the end with the air compressor is 8 cm². If a car is lifted by a force of 2,800 kg, what force should be exerted by the air compressor? a) 32 kg b) 28 kg c) 24 kg d) 20 kgarrow_forward
- Determine the work done if an electric hoist lifts 2500 -pound car 6 feet.arrow_forwardIn una leva di primo genere in equilibrio,la potenza è il quadruplo della resistenza aumentata di 5 kg e i bracci sono rispettivamente di 6 m e 26 m. Calcola la potenza e la resistenza. [15 kg;65 kg]arrow_forwardA force of 10 lb is required to hold a spring stretched 4 inches beyond its natural length. How much work is done in stretching it from its natural length to 6 inches beyond its natural length? (Hint: 1 ft- 12 in) 45 ft-lbs 3.75 ft-lbs 22.5 ft-lbs 7.5 ft-lbsarrow_forward
- Geometry Unit 3 mutoy 5) 6) 22 m Volume = 35marrow_forwardVOLUME OF CONES 13 cm 10 cm 10) 5 cm 10 cm V = cm3 V = cm3 13 сm 9 cm 11) 4 cm 8 cm V = ст3 V = cm3arrow_forwardA monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 150 ft", how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon. 團 14 ft gallons 22 ft 14 ft 14 ft Submit Assignment Save For Later Check 2021 McGraw-Hill Education. All Rights Reserved Terms of Use Privacy Accessibilityarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell