Group Project2-Questions-11October2020
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Johns Hopkins University *
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555.646
Subject
Industrial Engineering
Date
Feb 20, 2024
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docx
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2
Uploaded by MajorKingfisherMaster1012
Group Project 2
50 Points
Due by 11:59 PM EST on Sunday October 25, 2020
Show all work.
Unsubstantiated answers receive no credit.
Be sure to simplify all results.
Report results to four decimal places.
Every group will write the group number and the names of the members on the Word
file submitted.
There will be 1 submission per group.
Please write the question and then give the answer. Follow this for every question.
Every member in a group should actively participate.
The group members of each group will choose the compiler from amongst themselves for this project.
Please email me the completed projects in Word file by the due date.
If you have any question, please email me.
1.
(10 points) The tolerance limits for a particular quality characteristic (e.g., length,
weight, or strength) of a particular product are the minimum and/or maximum values at
which the product will operate properly. Tolerance limits are set by the engineering
design function of the manufacturing operation. The tensile strength of a particular
metal part can be characterized as being normally distributed with a mean of 25 pounds
and a standard deviation of 2 pounds. The upper and lower tolerance limits for the part
are 30 pounds and 21 pounds respectively. A part that falls within the tolerance limits
results in a profit of $10. A part that falls below the lower tolerance limit costs the
company $2; a part that falls above the upper tolerance limit costs the company $1. Find
the company’s expected profit per metal part produced.
2.
(10 points) The Globe Fishery packs shrimp that weigh more than 1.91 ounces each in
packages marked" large" and shrimp that weigh less than 0.47 ounces each into
packages marked "small"; the remainder are packed in "medium" size packages. If a
day's catch showed that 19.77 percent of the shrimp were large and 6.06 percent were
small, determine the mean and the standard deviation for the shrimp weights. Assume
that the shrimps' weights are normally distributed.
3.
(14 points) In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. Of the next ten automobiles entering the inspection station,
a.
what is the probability that none will pass inspection?
b.
what is the probability that all will pass inspection?
c.
what is the probability that exactly two will not pass inspection?
d.
what is the probability that more than three will not pass inspection?
e.
what is the probability that fewer than two will not pass inspection?
f.
Find the expected number of automobiles not passing inspection.
g.
Determine the standard deviation for the number of cars not passing inspection.
In a survey of MBA students, the following data were obtained on “students’ first reason for
application to the school in which they matriculated”.
Reason for Application
Enrollment
Status
School Quality
School Cost or Convenience
Other
Full Time
421
393
76
Part Time
400
593
46
4.
(10 points) Suppose that one of the students is selected at random. Using this data set, answer the following questions. a. Develop a joint probability table for this data.
b. Use the marginal probabilities of school quality, school cost or convenience, and other to comment on the most important reason for choosing a school. c. If a student goes full time, what is the probability that school quality is the first reason for choosing a school?
d. If a student goes part time, what is the probability that School Cost or Convenience is the first
reason for choosing a school?
e. Let A denote the event that a student is full time and let B denote the event that the student lists school quality as the first reason for applying. Are events A and B independent? Justify your
answer.
5.
(6 points) A box consists of 21 toffees of which 12 are green and 9 are blue. You picked 2
toffees at random. Find the probability that both toffees are blue.
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