Question
In: Statistics and Probability
All printed circuit boards (PCBs) that are manufactured at a certain plant are inspected. An analysis...
All printed circuit boards (PCBs) that are manufactured at a certain plant are inspected. An analysis of the company’s records indicates that 22% are flawed in some way. Of those that are flawed, 84% are reparable and the rest must be discarded. If a newly produced PCB is randomly selected, what is the probability that it does not have to be discarded?
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Solutions
orchestra answered 1 year agoRelated Solutions
Current technology uses lasers for the inspection of solder-joint defects on printed circuit boards (PCBs). A...
Current technology uses lasers for the inspection of
solder-joint defects on printed circuit boards (PCBs). A particular
manufacturer of laser-based inspection equipment claims that its
product can inspect on average at least 10 solder joints per second
when the joints are spaced 0.1 inch apart. The equipment was tested
by a potential buyer on 30 different PCBs. In each case, the
equipment was operated for exactly one second. The number of solder
joints inspected on each run is found in...
ABC company is producing printed circuit boards (PCBs) used in laptop computers. The associated manufacturing process...
ABC company is producing printed circuit boards (PCBs) used in
laptop computers. The associated manufacturing process which is in
3s-control seems to fluctuate in quality recently. The following
table presents the number of nonconformities observed in 26
successive samples of 100 PCBs over time. One nonconformity
represents one defect on a PCB. But one PCB may have more than one
nonconformity.
Sample number
Number of conformities
Sample Number
Number of conformities
1
21
14
19
2
24
15
10...
A company manufactures Printed Circuit Boards (PCBs) expects to have 6 defective units each day. Let...
A company manufactures Printed Circuit Boards (PCBs) expects to
have 6 defective units each day. Let Y be a random variable that
counts the number of defective units produced each day.
A. Which discrete random variable distribution would best model
this scenario?
B. What is the probability that the number of defective units
observed in a dayexceeds the mean number by more than one standard
deviation?
C. What is the probability that, on two randomly selected days,
no defective units...
An on-line production of printed-circuit boards (PCBs) involves ten successive sequences (i = 1, 2, 3,...
An on-line production of printed-circuit boards (PCBs) involves
ten successive sequences (i = 1, 2, 3, …, 10) of
component-placement/assembly on the board. In a quality-control
effort, the board is tested for its integrity in each of ten
successive assembly-tasks. It is presumed that the reliability of
final, completed PCB depends on possible, failure-proneness
associated with each (successive) assembly-task involved. Table
given below shows the number of PCBs (ni) per successive
batch tested. Also shown in the table, is the...
In the production of printed circuit boards, errors in the alignment of electrical connections are a...
In the production of printed circuit boards, errors in the
alignment of electrical connections are a source of scrap. The
accompanying table shows the registration error and the temperature
used in the production of circuit boards in an experiment in which
higher cost material was used.
Registration Error
Temperature
−10.7
278
3.7
320
3.2
299
10.6
321
−13.8
271
6.2
293
13.7
324
A. Fit a quadratic regression model and state the quadratic
regression.
B. Perform a residual analysis on...
show all work 2) A semiconductor manufacturer produces printed circuit boards that are sampled to determine...
show all work
2) A semiconductor manufacturer produces printed circuit
boards that are sampled to determine the thickness of their copper
plating. The following statements create a data set named Trans,
which contains the plating thicknesses (Thick) of 50 boards:
3.412
3.45
3.551
3.451
3.60
3.462
3.586
3.645
3.252
3.62
3.606
3.634
3.852
3.56
3.342
3.341
3.444
3.774
3.632
3.199
3.71
3.654
3.723
3.981
3.934
3.708
3.934
3.315
3.762
3.223
3.469
3.481
3.515
3.535
3.46
3.575
3.488
3.515
3.484
3.482...
A semiconductor manufacturer produces printed circuit boards that are sampled to determine the thickness of their...
A semiconductor manufacturer produces printed circuit boards
that are sampled to determine the thickness of their copper
plating. The following statements create a data set named Trans,
which contains the plating thicknesses (Thick) of 50 boards:
3.412
3.45
3.551
3.451
3.60
3.462
3.586
3.645
3.252
3.62
3.606
3.634
3.852
3.56
3.342
3.341
3.444
3.774
3.632
3.199
3.71
3.654
3.723
3.981
3.934
3.708
3.934
3.315
3.762
3.223
3.469
3.481
3.515
3.535
3.46
3.575
3.488
3.515
3.484
3.482
3.517
3.483
3.467
3.467...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards...
Manchester Technology, Inc. manufactures several different types
of printed circuit boards; however, two of the boards account for
the majority of the company’s sales. The first of these boards, a
television circuit board, has been a standard in the industry for
several years. The market for this type of board is competitive and
price-sensitive. Manchester plans to sell 79,000 of the TV boards
in 20x1 at a price of $450 per unit. The second high-volume
product, a personal computer circuit...
Manchester Technology, Inc. manufactures several different types of printed circuit boards; however, two of the boards...
Manchester Technology, Inc. manufactures several different types
of printed circuit boards; however, two of the boards account for
the majority of the company’s sales. The first of these boards, a
television circuit board, has been a standard in the industry for
several years. The market for this type of board is competitive and
price-sensitive. Manchester plans to sell 79,000 of the TV boards
in 20x1 at a price of $450 per unit. The second high-volume
product, a personal computer circuit...
In the production of printed circuit boards for the electronics industry, a 0.60-mm layer of copper...
In the production of printed circuit boards for the
electronics industry, a 0.60-mm layer of copper is laminated onto
an insulating plastic board. Next, a circuit pattern made of a
chemically resistant polymer is printed on board. The unwanted
copper is removed by chemical etching, and the protective polymer
is finally removed by solvents. One etching reaction is:
Cu(NH3)4Cl2(aq) + 4NH3(aq) + Cu(s) 2Cu(NH3)4Cl(aq)
A plant needs to manufacture 10,000 printed circuit boards,
each 8.0 x 16.0 cm in...
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