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Dec 6, 2023
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5
The plot of a probability density function (PDF) shows
number of successes versus total number of opportunities
reliability values versus time
number of events (such as failures) versus time
likelihood that mean values will increase
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A probability density function (PDF) plots the probability of a random variable taking on a particular value. Specifically:
The y-axis of a PDF plot shows the probability density, which indicates the likelihood or probability of the
random variable taking on the values along the x-axis.
The x-axis usually represents the possible values or range of the random variable.
With that in mind:
Option 1 is incorrect. A PDF does not plot the number of successes vs total opportunities.
Option 2 could be correct if the random variable is reliability and the x-axis is time.
Option 3 is correct. A common use of a PDF is to plot the probability density of events like failures occurring over time.
Option 4 is incorrect. A PDF does not indicate the likelihood that mean values will increase. It shows the probability distribution of a random variable's possible values.
Therefore, the best match for what a PDF plot typically shows is option 3: number of events (such as failures) versus time.
Claude Instant
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The is used for predicting the reliability springs, bearings, brakes, and clutches, seals, pumps, and other nonelectrical devices.
Aviation Handbook
Handbook of Reliability Prediction for Mechanical Systems
Reliability Engineer Handbook
Military Handbook 217
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Based on the context clues provided, the best match among the choices is:
Handbook of Reliability Prediction for Mechanical Systems
Some key reasons:
It specifically mentions reliability prediction, which is what the question is asking about.
It refers to mechanical systems, which would include the non-electrical devices listed as examples - springs, bearings, brakes, clutches, seals, pumps.
Aviation Handbook and Military Handbook 217 could be reliability resources but do not specify mechanical systems reliability prediction.
Reliability Engineer Handbook is too general, it does not imply it contains methods for predicting reliability of specific mechanical components.
Therefore, the Handbook of Reliability Prediction for Mechanical Systems best matches the information given as it explicitly focuses on predicting the reliability of non-electrical/mechanical devices and systems.
Claude Instant
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What are the two parameters that describe a Weibull Distribution?
CDF and PDF
Mean and Standard Deviation
Y and In(x)
Shape and Scale
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The two parameters that describe a Weibull distribution are shape and scale.
A Weibull distribution is used to model time-to-failure or time-between-failures data for mechanical and electronic systems.
The shape parameter, usually represented by k, describes the shape of the distribution curve. It indicates
whether the failure rate is increasing, decreasing, or constant over time.
The scale parameter, usually represented by η or λ, is a measure of the typical life or failure time. It scales the x-axis and indicates where the "knee" of the distribution curve occurs.
While CDF and PDF describe the cumulative distribution function and probability density function of the Weibull, they are not the specific parameters.
Mean and standard deviation do not fully parameterize a Weibull distribution.
Y and In(x) are not standard parameters either.
Therefore, the two parameters that describe a Weibull distribution are the shape parameter and scale parameter, usually represented as k and η/λ respectively.
Claude Instant
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For a particular application, MIL-HDBK-217 lists a base failure rate of 0.07 × 10-6 failures per hour and pi values of:
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Related Questions
The subject is Engineering Data Analysis
p.s please answer my question. Please thank you so much
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Q.49 A person operates a machine that makes capacitors. He has been advised to keep
the track of the percentage defectives at his work center. He knows that this type of
process, they expect about 4% defectives plus or minus some chance variation. He
wishes to initially construct a control chart for defectives. He has prepared ten daily
samples of hundred capacitors each.
Sample No. 1 2 3456 789 10
% defectives 4 3 36 195 12 4 3
) Construct the relevent control chart. What are upper and lower control limits?
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Part 1
1. In a study of ground motion caused by earthquakes, the
velocity (in m/s) and the acceleration (in) were recorded for
five earthquakes. The results are presented in the following
table and compute the variance and standard deviation of the
acceleration of these samples and explain their meaning.
Velocity 1.54 1.60 0.95
Acceleration 5.64 6.04
6.04
1.3 2.92
4.37 3.00
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Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel
Note that the standard normal curve is symmetrical about the mean.
z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
1
0.95
0.96
0.97
0.98
0.99
1.01
1.02
1.03
1.04
1.05
Mean - 0
1.06
1.07
1.08
1.09
A
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0398
0.0438
0.0478
A
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
Z
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
0.22
0.23
0.24
0.25
1.12
1.13
1.14
1.15
1.16
1.17
A
z
0.0517
0.0557
0.26
0.27
0.28
0.29
0.0596
0.0636
0.0675 0.3
0.0714 0.31
0.0753 0.32
0.0793 0.33
0.0832 0.34
0.0871 0.35
0.0910
0.0948
0.0987
1.18
1.19
1.2
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
A
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.36
0.3830
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.37…
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computational methods - linear regression
do not use spreadsheet program to find answer.
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Essay: Please answer the
following questions:
1.
Differentiate probability sampling from
non-probability
sampling.
2. Illustrate the application of the following
probability
techniques:
a. Systematic
Random Sampling b. Stratified
Random Sampling c.
Random Sampling 3. Why do researchers prefer
the use of probability
techniques?
Simple
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The orthographic views of an object are
shown below.
a) Draw its isometric drawing using a pencil.
Provide all important dimensions on your
isometric drawing.
b) You need to take pictures of all main
steps and need to provide a step-by-step
method to draw isometric drawing
accompanied by pictures.
307303030 |
20
60
15
15
55 30
20
60
+
27.5
4
25
47.5
25
R20
20
T
15
60
016
120
R30
120
120
30
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Had to place entire problem on here because it was confusing experts. Thank you for your help.
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Statistical Inference
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The network diagram for a project is shown in the accompanying figure, with three timeestimates for each activity. Activity times are in weeks. Do the following:a. Compute the expected time for each activity and the expected duration for each path.b. Identify the critical path.c. Compute the variance of each activity and the variance and standard deviation of eachpath.
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Student
A
B
D
H
Number
201780130
2
1
7
8
1
3
Evaluate the following variables and use them as given in the following problems.
200 if I is even, 250 if I is odd
(D + G)*10
(H + I/2, if in case the result is zero, use 3
(A +C + E)*2
(P + M)*20
H + 5
M
Q
%3D
50(E + G + 1)
II
II || || || ||||
ZNPORX
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The 7-distribution is used to estimate a population mean for large samples if the population standard deviation is
known. "Large" is usually defined as
at least 5% of the population size
B.
at least 142
at least 10
at least 30
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The subject is Engineering Data Analysis
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The heat transfer conducted through material is calculated from the equation:
Q = KX AXTD/L
Where K: Conductivity of material
A: Area of heat transfer
TD: Temperature difference across material
L: Thickness of material
A student measures the area, thickness and temperature difference and assumes that the error in conductivity is negligible. The
student also estimates the uncertainty range for each variable.
In estimating the maximum possible value of Q, the student should use the following formula:
A
B
Q max= K x A max x TD max / L max
Q max= K x A max x TD max / L nom
Q max= Q nominal + dQ/dLmin
Q max= K x A max x TD max / L min
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Can you explain how to get the graphs and what the equations mean? I'm also confused for the fill in the blanks portion. Please and thank you!
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1) Graph 1: plot t on the abscissa versus y on the ordinate and (artistically) draw a smooth line through the points. The line need not actually go through each data point.
2) Graph 2: plot t^2 on the abscissa versus y on the ordinate and then perform a linear regression. Remember to plot both the raw data points and the line of best fit (with the two points used to draw it); also show the regression equation and r value on the graph.
3) On graph (1), what does the slope of the line tell you about the velocity of the ball? Be thorough!
4) On graph 2:
a) What does the slope of the line tell you about the acceleration of the ball? Be thorough!
b) Calculate g from the freefall data and the % error (in comparison to 9.81 m/s^2) using the results from the linear regression calculation.
c) What do the values of the y-intercept and correlation coefficient (r) tell you?
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The following data provide the time in months from hire to promotion to manager for a random sample of 25 software engineers from all software engineers employed by a large telecommunications firm.
5 7 229 453 12 14 18 14 14 483
22 21 25 23 24 34 37 34 49 64
47 67 69 192 125
Calculate the mean, variance, and standard deviation for this sample.
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As an engineer working for a water bottling company, you collect the following
data in order to test the performance of the bottling systems. Assume normal
distribution.
Milliliters of Water in the Bottle Frequency
485
490
milliliters
495
500
505
510
515
What is the mean (in milliliters)?
milliliters
What is the standard deviation (in milliliters)?
What is the z value corresponding to 490 milliliters?
Z =
6
12
20
33
18
11
00
8
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please show work
answer is D
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Projects A and B are mutually exclusive. The minimum attractive rate of return (MARR) is 12%.
Using rate of return analysis, which project should be selected?
If the image fails to load here, go to https://www.dropbox.com/s/ld6wctqieu8jgwp/ROR.jpg
Year
0
1
2
3
4
ROR
A
- $750
$200
$200
$200
$600
17.68%
B
- $1,150
$300
$350
$400
$700
16.44%
O Project A
O Project B
O Both Project A and B
O Select none of the project.
O Insufficient information to make a decision.
B-A
- $400
$100
$150
$200
$100
13.69%
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I want a full answer with all solution steps and neat handwriting
F=19 KN
PLZ don't copy the answer from another answer
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Test the claim that the samples come from populations with the same mean. Assume that the populations are normally
distributed with the same variance.
1) Given the sample data below, test the claim that the populations have the same mean. Use 1)
a significance level of 0.05.
Brand A
n = 10
x = 32.1
s2 = 4.37
Brand B
n = 10
x = 32.6
s2 = 3.61
Brand C
n = 10
x =
<= 27.2
s² = 3.34
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pleas show all steps
Given three production runs of test data with five samples each, determine the control limits
for the upper and lower control limits for the associated Xbar and R charts (values are in mm):
X1
X2
X3
19.5
19.9
19.6
19.9
20.0
19.4
19.2
19.7
20.3
20.3
19.9
20.1
20.0
19.3
19.7
Sample Size Az
2
DA
D3
dz
1.880 3.267
1.128
3
1.023 2.575
1.693
4
0.729 2.282
2.059
5
0.577 2.115
2.326
6
0.483 2.004
2.534
7
0.419 1.924 0.078 2.704
8
0.373 1.864
0.136
2.847
9
10
0.337 1.816 0.184
2.970
0.308 1.777 0.223 3.078
12
0.266 1.716 0.284 3.258
15
0.223 1.652 0.348 3.472
20
0.180 1.586 0.414 3.735
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Table 2
20
29
34
37
41
50
22
30
34
37
41
50
22
30
34
38
44
50
24
30
34
38
44
55
24
32
34
39
44
55
24
32
34
39
45
55
25
32
36
40
45
58
26
33
36
40
45
62
27
33
36
40
46
62
28
33
37
41
47
66
4.
Find the coefficient of variation for the ages in Table 2.
The mean yearly salary of all the employees at Pretty Printing is $42,500 and the standard
deviation is $4000. The mean number of years of education for the employees is 16 and the
standard deviation is 2.5 years. Which of the two variables has the higher relative variation?
5.
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Exercise 4.4: Seven students measured the length of a rod to be as shown below:
Student No. 1
4
6.
7
Length (cm) 87.5 87.3 87.4 87.6 87.8 87.2 87.1
(a) What is the best estimate for the length of the rod?
(b) What is the sample standard deviation in the length of the rod?
(c) What will be the uncertainty in the length of the rod?
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Determine if the data has a positive or a negative relationship with each other. Showcase the regression line, and determine if the data provided fits the approximate curve.
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Related Questions
- The subject is Engineering Data Analysis p.s please answer my question. Please thank you so mucharrow_forwardQ.49 A person operates a machine that makes capacitors. He has been advised to keep the track of the percentage defectives at his work center. He knows that this type of process, they expect about 4% defectives plus or minus some chance variation. He wishes to initially construct a control chart for defectives. He has prepared ten daily samples of hundred capacitors each. Sample No. 1 2 3456 789 10 % defectives 4 3 36 195 12 4 3 ) Construct the relevent control chart. What are upper and lower control limits?arrow_forwardPart 1 1. In a study of ground motion caused by earthquakes, the velocity (in m/s) and the acceleration (in) were recorded for five earthquakes. The results are presented in the following table and compute the variance and standard deviation of the acceleration of these samples and explain their meaning. Velocity 1.54 1.60 0.95 Acceleration 5.64 6.04 6.04 1.3 2.92 4.37 3.00arrow_forward
- Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37…arrow_forwardcomputational methods - linear regression do not use spreadsheet program to find answer.arrow_forwardEssay: Please answer the following questions: 1. Differentiate probability sampling from non-probability sampling. 2. Illustrate the application of the following probability techniques: a. Systematic Random Sampling b. Stratified Random Sampling c. Random Sampling 3. Why do researchers prefer the use of probability techniques? Simplearrow_forward
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