Question
In: Statistics and Probability
A laptop manufacturing company has implemented a 2-step process to test the quality of each production...
A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following:
- What are the 4 characteristics of a binomial experiment?
- Can we use a binomial distribution to model this process?
- What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.)
- What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications?
Solutions
Expert Solution
(a) The 4 characteristics of a binomial experiment are,
· There are fixed number of trials
· Each trial is independent of the other trials
· The outcomes can be categorized into two categories, "success" and "failure".
· The probability of success is fixed in each trial.
(b) In this case 15 laptops are selected so number of trials is fixed,
The laptops are often categorized nearly as good or defective,
Each laptop is independent of others, the probability of getting a defective laptop is fixed.
So all 4 conditions are satisfied and thus it are often taken as a binomial distribution model.
(c) The entire batch has to be tested if the number of defective is more than 1.
So the excel command would be "1-BINOMDIST(1,15,0.05,TRUE)".
The obtained probability is 0.17095.
(d) Incorrectly accepted means, the defective rate is 0.25 but the batch is accepted i.e.
number of defectives is less than or equal to 1.
Required probability can be found using the excel command "BINOMDIST(1,15,0.25,TRUE)"
which is giving the probability as 0.08018.
orchestra answered 1 year agoRelated Solutions
A quality control expert at bobcat computers want to test their new laptop monitors. The production...
A quality control expert at bobcat computers want to test their
new laptop monitors. The production manager claims the monitors
have a mean life of 89 months with a population standard deviation
of 5 months. If the claim is true, what is the probability that the
mean monitor life would be greater than 87.7 months in a sample of
123 monitors? Round answer to four decimal places.
A).0001
B).5948
C).0039
D).9961
E).5000
A quality control expert at Glotech computers wants to test their new laptop monitors. The production...
A quality control expert at Glotech computers wants to test
their new laptop monitors. The production manager claims the
monitors have a mean life of 89 months with a population standard
deviation of 5 months. If the claim is true, what is the
probability that the mean monitor life would be greater than 87.8
months in a sample of 123 monitors? Round your answer to four
decimal places.
A. 0.5948
B. 0.0001
C. 0.9961
D. 0.5000
E. 0.0039
Mention what System Quality has been implemented and done in your company, show the process and...
Mention what System Quality has been implemented and done in
your company, show the process and how it works
Downhill Manufacturing produces snow skis in a two-step production process - cutting and laminating. The manufacturing...
Downhill Manufacturing produces snow skis in a two-step
production process - cutting and laminating.
The manufacturing center is supported by two service centers - a
health clinic and a janitorial service. The
following table reveals certain facts about each activity:
Health
Health
Janitorial
Cutting
Laminating
Employees
3
5
12
16
Square footage
1,400
500
14,000
9,000
Cost incurred
$160,000
$150,000
$720,000
900,000
(a) Using the direct method, allocate the service department
costs to production. The clinic...
The speech production process Directions: Write a description of the process — step by step —...
The speech production process
Directions: Write a description of the process — step by step —
of producing voice and speech. Include ALL of the terms below. The
function of each term
（larynx, approximation, pharynx, pitch, phonation, sound waves,
vocal folds, articulation, amplitude, volume, frequency, resonance,
vibration）
A manufacturing company makes runners for cabinet drawers. To assess the quality of the manufacturing process,...
A manufacturing company makes runners for cabinet drawers. To
assess the quality of the manufacturing process, the company
collected one sample of 300 consecutively manufactured runners each
day for 20 days and counted the number of defective items. The
resulting sample data are:
Sample: 1 2 3 4 5 6 7 8 9
10
Sample Size: 300 300 300 300 300 300 300 300 300
300
Defectives: 8 6
11 15 12
11 9 6 5 4
Based on your previous answers, sketch the p control chart for
your own reference. Now plot all the...
7. Consider a two-step, serial, production process with one resource at each step. The processing time...
7. Consider a two-step, serial, production
process with one resource at each step. The processing time at step
1 is 10 minutes and the processing time at step 2 is 5 minutes.
There is ample supply of raw materials for step 1 and ample
demand.
a) What is the capacity of this process in
units per hour?
b) Suppose there is variability in the
processing time at step 2. Specifically, the coefficient of
variation of processing time at step 2...
Compucat is a Canadian manufacturing company that produces inexpensive personal and laptop computers. The company has...
Compucat is a Canadian manufacturing company that produces
inexpensive personal and laptop computers. The company has been
generating progressively more of its sales from foreign markets.
During 2016, the company started purchasing most of its components
from a supplier in Germany.
To deal with the uncertainty associated with foreign exchange
fluctuations, all of Compucat's foreign currency denominated
receivables and payables are hedged with contracts with the
company's bank. Compucat's year-end is on December 31. The
following transactions took place in...
The variance in a production process is an important measure of the quality of the process....
The variance in a production process is an important measure of
the quality of the process. A large variance often signals an
opportunity for improvement in the process by finding ways to
reduce the process variance.
Machine 1
2.95
3.45
3.50
3.75
3.48
3.26
3.33
3.20
3.16
3.20
3.22
3.38
3.90
3.36
3.25
3.28
3.20
3.22
2.98
3.45
3.70
3.34
3.18
3.35
3.12
Machine 2
3.22
3.30
3.34
3.28
3.29
3.25
3.30
3.28
3.38
3.34
3.35
3.19
3.35
3.05
3.36...
The variance in a production process is an important measure of the quality of the process....
The variance in a production process is an important measure of
the quality of the process. A large variance often signals an
opportunity for improvement in the process by finding ways to
reduce the process variance.
Machine 1
2.95
3.45
3.50
3.75
3.48
3.26
3.33
3.20
3.16
3.20
3.22
3.38
3.90
3.36
3.25
3.28
3.20
3.22
2.98
3.45
3.70
3.34
3.18
3.35
3.12
Machine 2
3.22
3.30
3.34
3.28
3.29
3.25
3.30
3.27
3.37
3.34
3.35
3.19
3.35
3.05
3.36...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Always Hot Hot Bhd has agreed to sell a melting furnace to Always Warm Bhd and...
- Use the following information to answer the questions below. NUT &nbs
- what do you think about the new healthcare law ? what are the justifications on either...
- ________ refers to an individual's belief that he or she is capable of successfully performing a...
- Describe how the Pentose Phosphate pathway give organisms an advantage.
- In the wake of the financial crash of 2008 and ensuing “Great Recession”, Robert Skidelsky, Keynes’s...
- Suppose that the MD = 5E and with its current technology, the firm’s MAC is given...
ADVERTISEMENT