ESET329 good luck (copy)

This is for studying purposes

A function p(x) is defined as follows:

x	1	-1
p(x)	0.5	0.6

 

Is it possible that p(x) is a probability mass function for a discrete random variable?

a) Yes

b) No

b

A 60th percentile is the value on the horizontal axis, that has __% of the area under the probability density curve to its left.

a) 60

b) 50

c) 40

d) none of the above

a

x	0	-1
p(x)	0.5	0.5

E(X)=

a) 0.5

b) 1

c) -0.5

d) none of the above

c

The values in the Z table are 

a) P(Z<z).

b) P(Z>z)

c) P(Z=z)

d) P(-z<Z<z)

a

If a probability density function is symmetric, centered at -1, then it is possible that it is __.

a) a Normal distribution.

b) a Student's t-Distribution.

c) both a and b

c) neither a nor b

a

Which of the following is discrete random variable?

a) Normal 

b) t

c) Binomial

d) Lognormal

e) Chi-Square

c

If there is no shift of the mean over time, the DPMO for a six sigma process is

a) less than 3.4

b) greater than 3.4

c) equal to 3.4

d) none of the above

a

D in DMAIC stands for 

a) Design

b) Define

c) Definition

d) None of the above

b

In Krisys robot kits project, the cost analysis includes the following cost

a) Kit cost

b) lab cost

c) shipping cost

d) website hosting cost

multiple answers no spaace

abc

P(A)=0.5, P(B)=0.6, P(A union B)=0.9. Find P(A|B)

a. 2/5

b. 0.6

c. 0.5

d. 1/3

e. none of the above

d

Given P(A)=0.4, P(B)=0.5, and P(A|B)=0.8, find P(B|A).

a) 0.5

b) 0.8

c) 5/8

d) none of the above

d

P(A₁)=P(A₂)=0.5, P(B|A₁)=0.1, P(B|A₂)=0.3. Find P(B).

a) 0.2

b) 0.3

c) 0.5

d) 0.1

a

P(A)=0.5, P(B)=0.6, P(A|B)=0.4. Find P(A union B)

a. 0.7

b. 0.6

c. 0.86

d. 0.14

e. none of the above

c

For a continuous random variable X, it is given that F(5)=0.3. P(X>5)=

a. 0.3

b. 0.7

c. 0.06

d. none of the above

b

For a continuous random variable X, it is given that P(X>5)=0.7.  F(5)=

a. 0.3

b. 0.7

c. 0.06

d. none of the above

a

For a continuous random variable X, it is given that F(4)=0.1, F(5)=0.3. Find P(4<X<5).

a. 0.1

b. 0.3

c. 0.4

d. 0.2

e. none of the above  

d

A function p(x) is defined as follows

x	-1	2	4	7
p(x)	0	0.3	0.6	0.2

Is it possible that p(x) is a probability mass function?

a) Yes

b) No

c) cannot be determined

b

The experiement is defined as throwing a die twice. X is defined as N1-N2  (the first number - the second number).

Find p(X=3).

a) 1/36

b) 2/36

c) 3/36

d) 4/36

c

Given V(X)=2, and Y=-2X+1. Find V(Y)

a) 4

b) -4

c) 2

d) 8

d

If X is a continuous random variable with P(X>0.7) =0.3, then 

a) the 70th percentile is 0.3

b) the 30th percentile is 0.7

c) the 70th percentile is 0.7

d) the 3oth percentile is 0.3

c

Given E(X)=2, and Y=-2X+1. Find E(Y)

a) -3

b) -4

c) -2

d) -1

a

If 0.4 is the 60th percentile for the continous random variable X, then 

a) P(X>0.4)=0.4

b) P(X<0.4)=0.4

c) P(X>0.6)=0.4

d) P(X<0.6)=0.6

a

X~N(-2,4).

The expected value of X is

a) -2 

b) 2

c) 4

d) none of the above

a

X~N(-2,4). The standard deviation of X is

a) 2

b) 4

c) -2

d) none of the above

a

If X~N(-2, 4), then

a) Y=(X-2)/2 is the standard normal random variable.

b) Y=(X+2)/2 is the standard normal random variable.

c) Y=(X+2)/4 is the standard normal random variable.

d) Y=(X-2)/4 is the standard normal random variable.

b

Given V(X)=4, and Y=-4X+1. Find the standard deviation of Y.

a) -16

b) 16

c) 64

d) 8

d

(phi)  (0.3) is the area under the normal probability density function to the 

a) right of 0.3

b) left of 0.3

c) right of 0.7

d) left of 0.7

b

If (phi) 
(a) = 0.6, then a is the

a) 72.57th percentile

b) 27.43th percentile

c) 60th percentile

d) 40th percentile

c

P(Z<1.31)=

 

a) 0.9049

b) 0.9032

c) 0.0951

d) 0.0968

e) none of the above

a

P(Z>1.31)=

 

a) 0.9049

b) 0.9032

c) 0.0951

d) 0.0968

e) none of the above

c

P(Z<-1.31)=

 

a) 0.9049

b) 0.9032

c) 0.0951

d) 0.0968

e) none of the above

c

P(Z>-1.31)=

 

a) 0.9049

b) 0.9032

c) 0.0951

d) 0.0968

e) none of the above

a

P(0.8<Z<1.31)=

a) 0.1168

b) 0.6930

c) 0.3521

d) 0.6479

e) none of the above

a

If P(Z<a)=0.9719, then a=

a) 0.8340

b) 1.91

c) 0.0281

d) none of the above

b

If P(Z>a)=0.352, then a=

a) 0.6368

b) 0.62

c) 0.38

d) none of the above

c

P(z=0)=

a) 0.5

b) 0

c) 1

d) none of the above

b

A random variable X has a probability density function f(x) that is symmetric about x=9. Is it possible that X has a

a) Normal distribution

b) t-distribution

c) F-distribution

d) Chi-square distribution

e) Longnormal distribution

a

A random variable X has a probability density function f(x) that has non-zero values for x=-2. Is it possible that X has a

a) Normal distribution

b) t-distribution

c) F-distribution

d) Chi-square distribution

e) Longnormal distribution

ab

A random variable X has a probability density function f(x) that is non-symetric and has two degrees of freedom. Is it possible that X has a

a) Normal distribution

b) t-distribution

c) F-distribution

d) Chi-square distribution

c

If a random variable X has a mean 1 and a variance 4, then the average of the 50 samples of X has mean of

a) 1/50

b) 2/50

c) 4/50

d) 1

d

If a random variable X has a mean 1 and a variance 4, then the variance of the 50 samples of X is approximately

a) 1/50

b) 2/50

c) 4/50

d) 4

c

Find the range of the following data set:

1, 2, 3, 4, 5

 

a) 1-5

b) 4

c) 5

d) none of the above

b

Find the first quartile of the following data set:

1, 2, 3, 4, 5

 

a) 1.5

b) 2

c) 3

d) none of the above

b

In which stage do you create the project charter?

a) D

b) M

c) A

d) I

e) C

a

Six Sigma focuses on improving business performance by

a) reducing variation

b) reducing waste

c) reducing cost

d) incresing profit

a

Who were the quality gurus?

a) Dr. Edwards Deming, Dr. Snee, Michael George

b) Dr. Joseph M. Juran, Dr. Edwards Deming, Dr. Armand V. Feigenbaum

c) Dr. Walter A. Shewhart, Dr. Snee, Michael George

d) Dr. Joseph M. Juran, Dr. Snee, Michael George

b

Lean manufacturing focuses on improving business performance by

a) reducing variation

b) reducing waste

c) reducing cost

d) incresing profit

b

Which company used Lean manufacturing first?

a) Toyoda

b) Ford

c) Motorola

d) Toyota

d

The NBC documentary “If Japan Can…Why Can’t We?” was first aired in

a) 1980

b) 1982

c) 1986

d) 1990

a

Which company used Six Sigma first?

a) Toyoda

b) Ford

c) Motorola

d) Toyota

c

Who proposed to combine Lean and Six Sigma?

a) Michael George

b) Edwards Deming

c) Joseph M. Jura

d) Dr. Walter A. Shewhart

a

Who taught Japanese quality control?

a) Edwards Deming

b) Joseph M. Juran

c) Armand V. Feigenbaum  

d) Walt A. Shewhart

a

Total quality cost consists of two parts:

  

a) cost of manufacturing and cost of design

b) cost of failure and cost of appraisal/prevention 

c) cost of materials and cost of production

d) cost of product and cost of warranty

b

The four belts in the ASQ Six Sigma certification system are in the following order

 

a) Whit Belt, Yellow Belt, Orange Belt, Black Belt   

b) White Belt, Yellow Belt, Green Belt, Black Belt  

c) Yellow Belt, Green Belt, Orange Belt, Black Belt  

d) Yellow Belt, Green Belt, Black Belt, Master Black Belt

d

The experiment is defined as tossing a fair coin two times.  What is the sample space?

(We use, for example,  {H, T} to represent the outcome of Head for the first toss and T for the second toss.)

a) {{H,H}, {H, T}, {T, T}, {T, H}}

b) {H, T}

c) {{H,H}, {H, T}, {T, T}}

d) The correct answer is not listed.

a

The experiment is defined as tossing a fair coin two times. 

Which of the following is a simple event?

a) {{H, H}}

b) {{T, T}, {H, H}}

c) {{H, T,}, {T,H}}

d) {{H,H}, {H, T}, {T, T}}

e) None of the above

a

The experiment is defined as tossing a fair coin two times. 
Which of the following is a compound event?

a)    {{H, H}, {H,T}}
b)    {{T, T}, {H, H}}
c)    {{H, T,}, {T,H}}
d)    {{H,H}, {H, T}, {T, T}}
e)    all of the above

e

The experiment is defined as tossing a fair coin two times. What is the probability of having head two times?
a)    0.5
b)    0.75
c)    0.25
d)    None of the above

c

In Example 2.1 of the textbook, if the tolerance of resistance is reduce to 2.5% and the tolerance for capacitance is reduced to 10%, recalculate the worst case scenario cut-off frequencies (in Hz).
a) 88.74 and 141.23
b) 141.23 and 181.47
c) -20.64 and 31.58
d) -11.26 and 114.02

b

Given two sets A ={1,2,3,5,7} and B = {1,5,7,9}, find A⋂B. 

a)    {1,2,3,5,7,9}
b)    {1,1,2,3,5,5,7,7,9}
c)    {1,5,7}
d)    None of the above

c

Given two sets A ={1,2,3,5,7} and B = {1,5,7,9}, find A⋃B. 
a)    {1,1,2,3,5,5,7,7,9}
b)    {1,2,3,5,7,9}
c)    {1,5,7}
d)    None of the above

b

The sample space is {1, 2, 3, 4, 5, 6, 7}. An event A is defined as A={1,2,3}. The complement of A is 
a)    {4, 5, 6}
b)    {5, 6, 7}
c)    {4, 5, 6, 7}
d)    None of the above

c

A={1,2,3}, B={2, 3, 4}. Then A and B are mutually exclusive.

falsse

The sample space is given as {1, 2, 3, 4, 5, 6, 7, 8, 9}.

A union B ={1,2,3}. Find A' insect B'.

a) {4,5,6,7,8,9}

b) {1,2,3}

c) {1,2,3,4,5,6,7,8,9}

d) none of the above

a

Given P(A)=0.4, P(B)=0.5, and P(A⋃B)=0.8, are A and B mutually exclusive?

false

Given P(A)=0.4, P(B)=0.5, and P(A⋃B)=0.8, are A and B independent?

false

Given P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, are A and B independent?

true

Two events are mutually exclusive. None of the events are impossible outcomes. Are they independent?

a. Yes

b. No

c. cannot be determined

b

A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of four colors. Relevant probabilities for various combinations of transmission type and color are given in the accompanying table.

                                                                     Color

Transmission Type	White	Blue	Black	Red
Auto	.13	.10	.11	.11
Manual	.15	.07	.15	.18

Let A = (automatic transmission), B = {black}, and C = {white}. Find P(A|B).  

a) 45%

b) 58.82%

c) 42.31%

d) 73.33%

e) none of the above

c

Given P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, find P(A|B).

a) 2/5

b) 4/5

c) 1/2

d) none of the above

a

Given that the subsystems all have probability of success equal to 0.9 and they are mutually independent, the probability of the overall system being a success is equal to

a. 0.9885

b. 0.9791

c. 0.8569

d. none of the above

b

Given that the subsystems all have probability of success equal to 0.9 and they are mutually independent, the probability of the overall system being a success is equal to

a. 0.8893

b. 0.9791

c. 0.8569

d. none of the above  

a

At which stage would you conduct the CTQ analysis?

a) D

b) M

c) A

d) I

e) C

a

The goals of the Krisys Robot Kit project are

a) cost reduction

b) circuit optimization

c) lead time reduction

d) a and c

e) all of the above

(Select the best answer, there may be more than one correct answer.)

d

The Q in CTQ stands for 

a) Quantity

b) Quality

c) Qualification

d) Quantization

e) None of the above

b

In which stage is GR&R done?

a) D

b) M

c) A

d) I

e) C

b

In the DMAIC process, it is OK go back from I to A.

true

DFSS is for

a) process improvement

b) designing new process/product

c) waste reduction

d) validating new designs

b

The yellow triangle in VSM of the Krisys Robot Kits project stands for 

a) pause

b) warning

c) inventory

d) none of the above

c

In the Motor PWM project, the following is one of the goals

a) Lead time reduction

b) Cost reduction

c) Improvement of system reliability

d) Reduction in standard deviation of error

e) None of the above

d

In Affinity Diagram, you typically use 

a) powerpoint

b) survey

c) polling

d) sticky notes

e) all of the above

d

In the Voice of Customers analysis, the goal is to derive

a) VOE

b) MOC

c) Design requirements

d) Customer feedback

b

The T in SWOT analysis stands for 

a) Tests

b) Threats

c) Teams

d) None of the above

b

n GR&R analysis, if the R&R is 50%, what would be the reasonable actions to take?

a) reduce part-to-part variation

b) calibrate the measurement equipment

c) train the technician

d) b and c

d

If a 4.5 sigma process with a 1.5 sigma shift in its mean, then Cp =

a) 1.0

b) 2.0

c) 1.5

d) none of the above

c

If a 4.5 sigma process with a 1.5 sigma shift in its mean, then Cpk =

a) 1.0

b) 2.0

c) 1.5

d) none of the above

a

A sigma process with a 1.5 sigma shift in its mean has a process capability index of 1.2. Find the process performance index.

a) 0.5

b) 0.7

c) 1.2

d) 3.6

b

A process with a 1.5 sigma shift in its mean has a process performance index of 1.2. Find the process capability index.

a) 5.1

b) 0.7

c) 1.2

d) 3.6

e) none of the above

e

a) Normaility check is the same as Probability Plot

b) Normaility check is a sepcial case of Probability Plot

c) Probability Plot is  a sepcial case of Normaility check

d) None of the above is correct

b

	Base line	Project 1	Project 2
Reliability		+	-
Features		+	-
Cost		-	+
sum of +
sum of -
sum of S

Which project is the best?

a) Project1

b) Project 2

c) Baseline

d) any of the above

a

Given the following prioritization matrix,

	y1	y2	y3	composite ranking
weights	0.5	0.2	0.3
x1	2	1	2
x2	1	2	1

a) x1 is more important than x2

b) x2 is more importnt than x1

c) they are equally important

d) none of the above is true

a

A Normality Check was conducted for a data set. The conclusion is that the data are from a normal distribution. The equation of the straight line that are closest to the data is given as 

y=0.918x-0.175.

Find the estimated population mean.

a) 0

b) -0.175

c) 0.918

d) sqrt(0.918)

b

If there are four data point in ascending order, what percentile is the second data point?

a) 25th percentile

b) 37.5th percentile

c) 50th percentile

d) none of the above

b

If the confidence level is increased, the width of the confidence interval will be

a) increased

b) the same

c) decreased

d) none of the above

a

If the average, standard deviation, and confidence level remain the same, but the number of data points is increased, then the width of the confidence interval will be

a) increased

b) the same

c) decreased

d) none of the above

c

If the average,  the number of data points, and confidence level remain the same, but the standard deviation is increased, then the width of the confidence interval will be

a) increased

b) the same

c) decreased

d) none of the above

a

In the Motor PWM Lean Six Sigma project, testing was limited to simulation only.

true

The W in SWOT analysis stands for 

a) Work

b) Weaknesses

c) Waste

d) none of the above

b

The 2 Rs in GR&R stand for

a) Repeat and reproduce.

b) Repeat and report.

c) Repeatability and reproducibility.

d) none of the above.

c

What level of R&R is acceptable?

a) Below 90%

b) Below 9%

c) Above 9%

c) Above 90%

b