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11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

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MATH1123, section OB, Fall 2023

Chapter 6 Quiz (Quiz)
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Hua He

Hawaii Paci�c University

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SUN, NOV 19, 2023

11:59 PM HST

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11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 2/7

Classify each of the following random variables as either discrete or continuous.

(a) the fuel efficiency (miles per gallon) of an automobile

(b) the amount of rainfall at a particular location during the next year

(c) the distance that a person throws a baseball

(d) the number of strokes in a round of golf

(e) the weight (in ounces) of an apple

(f) the amount of water used by a household during a given month

(g) the number of traffic citations issued by the highway patrol in a particular county on a given day

discrete

continuous

discrete

continuous

discrete

continuous

discrete

continuous

discrete

continuous

discrete

continuous

discrete

continuous

1. [7/7 Points] PECKSTAT3 6.1.004.DETAILS PREVIOUS ANSWERS MY NOTES

11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 3/7

A person is asked to draw a line segment that they think is 7 inches long. The length of the line segment drawn will be
measured, and the value of x = (Actual length − 7) will be calculated.

(a) What is the value of x for a person who draws a line segment that is 7.3 inches long?

(b) Is x a discrete or continuous random variable? Explain.

This random variable is continuous since the possible values of x are all points in some interval .

A pizza shop sells pizzas in four different sizes. The 1,000 most recent orders for a single pizza resulted in the following
proportions for the various sizes.

Size (inches) 12 14 16 18

Proportion 0.12 0.33 0.49 0.06

With x = Size of a pizza in a single-pizza order, the given table is an approximation to the probability distribution of x.

(a) Write a few sentences describing what you would expect to see for pizza sizes over a long sequence of single-pizza
orders. (Give your answers as percents.)

In the long run, we would expect to see approximately % of the single-pizza orders for 12 inch pizza,

% for 14 inch pizza, % for 16 inch pizza, and % for 18 inch pizza.

(b) What is the approximate value of

(c) What is the approximate value of

P(x < 16)?

P(x ≤ 16)?

2. [2/3 Points] PECKSTAT3 6.1.008.MI.DETAILS PREVIOUS ANSWERS MY NOTES

3. [–/6 Points] PECKSTAT3 6.2.015.DETAILS MY NOTES

11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 4/7

An appliance dealer sells three different models of upright freezers having 13.3, 16.1, and 19.3 cubic feet of storage space.
Consider the random variable x = Amount of storage space purchased by the next customer to buy a freezer. Suppose that x
has the following probability distribution.

x p(x)

13.3 0.2

16.1 0.5

19.3 0.3

(a) Calculate the mean and standard deviation of x (in cubic feet). (Hint: See Example 6.15. Round your standard deviation
to four decimal places.)

= cubic ft

= cubic ft

(b) Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many
purchases.

The mean represents the long run average distribution of freezers sold by this particular appliance dealer. The
standard deviation represents a typical deviation in how much the distribution in freezers purchased deviates from
the mean.

The mean represents the long run average number of freezers sold by this particular appliance dealer. The standard
deviation represents a typical deviation in how many freezers purchased deviates from the mean.

The mean represents the long run average cost of freezers sold by this particular appliance dealer. The standard
deviation represents a typical deviation in how much is spent on freezers purchased deviates from the mean.

The mean represents the long run average type of freezer sold by this particular appliance dealer. The standard
deviation represents a typical deviation in what type of freezer purchased deviates from the mean.

The mean represents the long run average storage space of freezers sold by this particular appliance dealer. The
standard deviation represents a typical deviation in how much the storage space in freezers purchased deviates
from the mean.

????x

????x

4. [–/3 Points] PECKSTAT3 6.4.033.DETAILS MY NOTES

11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 5/7

Suppose that for a given computer salesperson, the probability distribution of

x = Number of systems sold in one week

is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.29 0.12 0.01 0.01

(a) Find the mean value of x (the mean number of systems sold).

(b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.)

variance

standard deviation

How would you interpret these values? (Round your standard deviation to four decimal places.)

The mean squared deviation from the mean number of systems sold in one week is . A typical deviation

from the mean number of systems sold in one week is .

(c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

5. [–/7 Points] PECKSTAT3 6.4.036.MI.DETAILS MY NOTES

11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 6/7

Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round your
answers to four decimal places.)

(a) P(z < 2.39)

(b) P(z ≤ 2.39)

(c)

(d)

(e)

(f) P(z > 1)

(g)

(h) P(z < 4.97)

P(z < −1.24)

P(1.13 < z < 3.34)

P(−0.78 ≤ z ≤ −0.53)

P(z ≥ −3.37)

6. [–/8 Points] PECKSTAT3 6.5.042.S.DETAILS MY NOTES

11/17/23, 10:30 PM Chapter 6 Quiz – MATH1123, section OB, Fall 2023 | WebAssign

https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33177290 7/7

Purchases made at small “corner stores” were studied by the authors of a certain paper. Corner stores were defined as stores
that are less than 200 square feet in size, have only one cash register, and primarily sell food. After observing a large number
of corner store purchases in Philadelphia, the authors reported that the average number of grams of fat in a corner store
purchase was 21.2. Suppose that the variable

x = Number of grams of fat in a corner store purchase

has a distribution that is approximately normal with a mean of 21.2 grams and a standard deviation of 6 grams. (Round your
answers to four decimal places.)

(a) What is the probability that a randomly selected corner store purchase has more than 31 grams of fat?

(b) What is the probability that a randomly selected corner store purchase has between 15 and 25 grams of fat?

(c) If two corner store purchases are randomly selected, what is the probability that both of these purchases will have more
than 25 grams of fat?

A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed
with a mean of 4 mg and a standard deviation of 0.1 mg. (Round your answers to four decimal places.)

What is the probability that a randomly selected capsule contains less than 3.8 mg of vitamin E?

What is the probability that a randomly selected capsule contains at least 4.5 mg of vitamin E?

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7. [–/3 Points] PECKSTAT3 6.5.050.MI.S.DETAILS MY NOTES

8. [–/2 Points] PECKSTAT3 6.5.061.S.DETAILS MY NOTES

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July 1, 2023
    

 

MULTIPLE CHOICE

1.Which of the following is true about the early stages of international involvement in firms with little or no formal organization?

a.All transactions are subject to a single standardized procedure.

b.Domestic operations assume responsibility for international marketing activities.

c.Consolidation of information and authority over international sales is undertaken.

d.The share of international operations in the sales of the corporation is initially high.

2.The _____ centralizes in one entity, with or without separate incorporation, and accepts all of the responsibility for worldwide activities.

a.export department structure

b.global division

c.international division

d.hybrid structure

3.Which of the following is true about international divisions?

a.The international division centralizes in several entities, without separate incorporation, and accepts all of the responsibility for international activities.

b.To avoid situations in which the international division is at a disadvantage in competing for production and related services, corporations need to coordinate between domestic and international operations.

c.The international division best serves firms with several products that vary significantly in terms of their environmental sensitivity, and when international sales and profits are quite significant compared with those of the domestic divisions.

d.The international division concentrates solely on manufacturing functions in order to take advantage of the economies of scale.

4.Which of the following global structures improves cost efficiency through centralization of manufacturing facilities?

a.Global functional structure

b.Global customer structure

c.Global product structure

d.Global mixed structure

5.Which of the following is an approach to organizational structure that gives worldwide responsibility to strategic business units for marketing their product lines?

a.Area structure

b.Functional structure

c.Mixed structure

d.Product structure

6.All-Techno Inc., a leading Florida-based software firm, has branches all over the world. Its operations are mainly divided into three regions comprising Europe, Asia, and the U.S. These divisions are responsible for all the manufacturing and marketing activities in their respective areas. What kind of organizational structure is being adopted by All-Techno?

a.Product structure

b.Functional structure

c.Area structure

d.Customer structure

7.If market conditions with respect to product acceptance and operating conditions vary dramatically, the _____ approach is the one to choose.

a.functional

b.customer

c.product

d.area

8.An approach to organizational structure that is based on which consumer groups are served is referred to as a(n) _____.

a.functional structure

b.area structure

c.customer structure

d.product structure

9.A(n) _____ structure combines two or more organizational dimensions simultaneously.

a.matrix

b.functional

c.area

d.mixed

10.Which approach to organizational structure refers to a business driven by a worldwide business unit and implemented by a geographic unit?

a.Mixed structure

b.Matrix structure

c.Functional structure

d.Shell structure

 

default image
July 1, 2023
    

 

MULTIPLE CHOICE

1.Which of the following is true about the early stages of international involvement in firms with little or no formal organization?

a.All transactions are subject to a single standardized procedure.

b.Domestic operations assume responsibility for international marketing activities.

c.Consolidation of information and authority over international sales is undertaken.

d.The share of international operations in the sales of the corporation is initially high.

2.The _____ centralizes in one entity, with or without separate incorporation, and accepts all of the responsibility for worldwide activities.

a.export department structure

b.global division

c.international division

d.hybrid structure

3.Which of the following is true about international divisions?

a.The international division centralizes in several entities, without separate incorporation, and accepts all of the responsibility for international activities.

b.To avoid situations in which the international division is at a disadvantage in competing for production and related services, corporations need to coordinate between domestic and international operations.

c.The international division best serves firms with several products that vary significantly in terms of their environmental sensitivity, and when international sales and profits are quite significant compared with those of the domestic divisions.

d.The international division concentrates solely on manufacturing functions in order to take advantage of the economies of scale.

4.Which of the following global structures improves cost efficiency through centralization of manufacturing facilities?

a.Global functional structure

b.Global customer structure

c.Global product structure

d.Global mixed structure

5.Which of the following is an approach to organizational structure that gives worldwide responsibility to strategic business units for marketing their product lines?

a.Area structure

b.Functional structure

c.Mixed structure

d.Product structure

6.All-Techno Inc., a leading Florida-based software firm, has branches all over the world. Its operations are mainly divided into three regions comprising Europe, Asia, and the U.S. These divisions are responsible for all the manufacturing and marketing activities in their respective areas. What kind of organizational structure is being adopted by All-Techno?

a.Product structure

b.Functional structure

c.Area structure

d.Customer structure

7.If market conditions with respect to product acceptance and operating conditions vary dramatically, the _____ approach is the one to choose.

a.functional

b.customer

c.product

d.area

8.An approach to organizational structure that is based on which consumer groups are served is referred to as a(n) _____.

a.functional structure

b.area structure

c.customer structure

d.product structure

9.A(n) _____ structure combines two or more organizational dimensions simultaneously.

a.matrix

b.functional

c.area

d.mixed

10.Which approach to organizational structure refers to a business driven by a worldwide business unit and implemented by a geographic unit?

a.Mixed structure

b.Matrix structure

c.Functional structure

d.Shell structure

 

default image
July 1, 2023
    

 

MULTIPLE CHOICE

1.Which of the following is true about the early stages of international involvement in firms with little or no formal organization?

a.All transactions are subject to a single standardized procedure.

b.Domestic operations assume responsibility for international marketing activities.

c.Consolidation of information and authority over international sales is undertaken.

d.The share of international operations in the sales of the corporation is initially high.

2.The _____ centralizes in one entity, with or without separate incorporation, and accepts all of the responsibility for worldwide activities.

a.export department structure

b.global division

c.international division

d.hybrid structure

3.Which of the following is true about international divisions?

a.The international division centralizes in several entities, without separate incorporation, and accepts all of the responsibility for international activities.

b.To avoid situations in which the international division is at a disadvantage in competing for production and related services, corporations need to coordinate between domestic and international operations.

c.The international division best serves firms with several products that vary significantly in terms of their environmental sensitivity, and when international sales and profits are quite significant compared with those of the domestic divisions.

d.The international division concentrates solely on manufacturing functions in order to take advantage of the economies of scale.

4.Which of the following global structures improves cost efficiency through centralization of manufacturing facilities?

a.Global functional structure

b.Global customer structure

c.Global product structure

d.Global mixed structure

5.Which of the following is an approach to organizational structure that gives worldwide responsibility to strategic business units for marketing their product lines?

a.Area structure

b.Functional structure

c.Mixed structure

d.Product structure

6.All-Techno Inc., a leading Florida-based software firm, has branches all over the world. Its operations are mainly divided into three regions comprising Europe, Asia, and the U.S. These divisions are responsible for all the manufacturing and marketing activities in their respective areas. What kind of organizational structure is being adopted by All-Techno?

a.Product structure

b.Functional structure

c.Area structure

d.Customer structure

7.If market conditions with respect to product acceptance and operating conditions vary dramatically, the _____ approach is the one to choose.

a.functional

b.customer

c.product

d.area

8.An approach to organizational structure that is based on which consumer groups are served is referred to as a(n) _____.

a.functional structure

b.area structure

c.customer structure

d.product structure

9.A(n) _____ structure combines two or more organizational dimensions simultaneously.

a.matrix

b.functional

c.area

d.mixed

10.Which approach to organizational structure refers to a business driven by a worldwide business unit and implemented by a geographic unit?

a.Mixed structure

b.Matrix structure

c.Functional structure

d.Shell structure

 

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