Question

A manager at a company that manufactures cell phones has noticed that the number of faulty cell phones in a production run of cell phones is usually small and that the quality of one day's run seems to have no bearing on the next day.

a) What model might you use to model the number of faulty cell phones produced in one day?

b) If the mean number of faulty cell phones is 1.7 per day, what is the probability that no faulty cell phones will be produced tomorrow?

c) If the mean number of faulty cell phones is 1.7 per day, what is the probability that 3 or more faulty cell phones were produced in today's run?

Answer #1

A)

We use Poisson probability distribution,

X~ Poi ( ) , Where = Mean number of faculty cell phones per day.

P(X) = e^{-} *
^{X} /
X!

b)

Given = 1.7

P(X = 0) = e^{-1.7}

= **0.1827**

c)

P(X >= 3) = 1 - P(X <= 2)

= 1 - [ P(X = 0) + P(X = 1) + P(X = 2) ]

= 1 - [ e^{-1.7} + e^{-1.7} * 1.7 +
e^{-1.7} 1.7^{2} / 2! ]

= **0.2428**

QUESTION 5 (Solve by hand)
A cell phone manufacturer has noticed that the number of faulty
cell phones detected in a production run only depends on the
supervisor on duty and is detected according to a Poisson Process.
There are only 2 supervisors: James and Russell, in the firm. The
average number of faulty cell phones is two per day when James is
on duty, while the average number of faulty cell phones is three
per day when Russell is...

In an effort to check the quality of their cell phones,
a manufacturing manager decides to take a random sample of 10 cell
phones from yesterday’s production run, which produced cell phones
with serial numbers ranging (according to when they were produced)
from 43005000 to 43005999. If each of the 1000 phones is equally
likely to be selected:
What distribution would they use to model the
selection?
What is the probability that a randomly selected cell
phone will be one...

Aster Inc. is an American firm that manufactures and markets
cell phones for sale in discount stores and other retail settings.
The firm also sells cell phone accessories. Aster Inc. conducted an
analysis of its competitive advantage for one of its
product-markets and conducted research to learn the following
information:
Competitive Position Factor
Competitive Position Rating
Relative Importance
Differentiation Advantage:
Product quality
Service quality
Brand Image/Reputation
80
60
80
40%
30%
30%
Cost Advantage:
Cost per unit
Transaction costs
Marketing...

A website manager has noticed that during the evening hours,
about 3 people per minute check out from their shopping cart and
make an online purchase. She believes that each purchase is
independent of others and assumes that the distribution of number
of purchases per minute on the website follows Poisson
distribution. If you use excel, please explain the formulas used on
the cells.
What is the probability that during a 1-minute period, at least
one purchase is made?
What...

Scenario: You are the manager of a company that manufactures
electric chainsaws. Currently the company makes 5,000 chainsaws
each year and sells them for $200 each. You suspect that the
company should be able to sell more chainsaws and for a higher
price. However, if you raise the price too high, not as many would
sell. The company also doesn’t have any storage space so if the
company makes more chainsaws than they can sell, they will have to
pay...

Your company makes widgets and claim to investors that you
produce 250 widgets/days. From previsous studies, it is assumed
that the population standard deviation in the number of widgets
produced per day is 15. as quality control manager, you randomly
choose 64 days and get average widget production of 247
Q1 is there evidence that the average number of widgets produced
per day is different than 250 at the 0.05 level of significance
Q2 what is your P-value in Q1...

Brokia Electronics manufactures three cell phone models, which
differ only in the components included: Basic, Photo, and UrLife.
Production takes place in two departments, Assembly and Special
Packaging. The Basic and Photo models are complete after Assembly.
The UrLife model goes from Assembly to Special Packaging and is
completed there. Data for July are shown in the following table.
Conversion costs are allocated based on the number of units
produced. There are no work-in-process inventories.
Total
Basic
(20,000 units)
Photo...

Hotel California is a luxury hotel which has just got a new
manager, Rocky. Given its location and quality, the hotel always
had enough people making advance reservations to fill up all the
rooms available. The hotel charges $200 per room per night for
reservations made in advance (Hint: think of this $200 as the
purchasing cost in the Newsvendor model). Rocky had taken the
OPRE3310 at UTD last semester and decided to implement some of
those techniques in his...

BridgeRock is a major manufacturer of tires in the U.S.. The
company had five manufacturing facilities where tires were made and
another 20 facilities for various components and materials used in
tires. Each manufacturing facility produced 10,000 tires every
hour. Quality had always been emphasized at BridgeRock, but lately
quality was a bigger issue because of recent fatal accidents
involving tires made by other manufacturers due to tread
separation. All tire manufacturers were under pressure to ensure
problems did not...

Cain Components manufactures and distributes various plumbing
products used in homes and other buildings. Over time, the
production staff has noticed that products they considered easy to
make were difficult to sell at margins considered reasonable while
products that seemed to take a lot of staff time were selling well
despite recent price increases. A summer intern has suggested that
the cost system might be providing misleading information.
The controller decided that a good summer project for the intern...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 9 minutes ago

asked 14 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago