If A and B are
independent events with P(A) = .38 and P(B)
= .55, then P(A | B) =
a. .550
b. .38
c. 0
d. .209
The
symbol ∩ shows the _____.
a. union of events
b. intersection of events
c. sum of the probabilities of events
d. sample space of events
Any
process that generates well-defined outcomes is _____.
a. an event
b. a sample point
c. a probability
d. an experiment
In an
experiment, events A and B are mutually
exclusive. If P(A) = 0.35, then the probability of B
_____.
a. can be any value greater than 0.35
b. must also be 0.35
c. can be any value between 0 and 1
d. cannot be larger than 0.65
If A and B are
independent events with P(A) = 0.4 and P(B)
= 0.5, then _____.
a. P(A∩B) = 0.20
b. P(A∩B) = 0
c. P(A∩B) = 0.45
d. P(A∩B) = 0.90
If A and B are
mutually exclusive events with P(A) = .3 and P(B)
= 0.5, then P(A∩B) =
a. .30
b. .15
c. 0
d. .20
If P(A) = 0.68, P(B)
= 0.49, and P(A∪B) = 0.82; then P(A∩B) = _____.
a. 0.333
b. 0.35
c. 0.47
d. 1.99
If A and B are
mutually exclusive events with P(A) = 0.10 and P(B)
= 0.85, then P(A∪B)
= _____.
a. 0.05
b. 0
c. 0.75
d. 0.95
An experiment consists of three steps. There are
four possible results on the first step, three possible results on the second
step, and two possible results on the third step. The total number of
experimental outcomes is _____.
a. 14
b. 9
c. 36
d. 24
An experiment consists of tossing four coins
successively. The number of sample points in this experiment is _____.
a. 4
b. 8
c. 16
d. 2
If A and B are
independent events with P(A) = .38 and P(B)
= .55, then P(A | B) =
a. .550
b. .209
c. 0
d. .38
If A and
B are mutually exclusive events with P(A) = .5 and P(B)
= .5, then P(A ∩ B) is _____.
a. .25
b. .5
c. 0
d. 1
Each customer entering a department store will
either buy or not buy some merchandise. An experiment consists of following
three customers and determining whether or not they purchase any merchandise.
The number of sample points in this experiment is _____.
a. 2
b. 8
c. 4
d. 6
A(n)
__________ is a collection of sample points.
a. permutation
b. experiment
c. event
d. probability
If P(A) = .85, P(B)
= .76, and P(A∩B) = .72, then P(A | B)
= _____.
a. .95
b. .25
c. .15
d. .53
An
experiment consists of four outcomes with P(E1)
= 0.4, P(E2) = 0.2, and P(E3)
= 0.1. The probability of outcome E4 is
_____.
a. 0.600
b. 0.300
c. 0.008
d. 0.700
You roll a fair six-sided die with the hopes of
rolling a 5 or a 6. These two events are ___________ because they have no
sample points in common.
a.
mutually exclusive events
b. independent events
c. complements
d. posterior events
An experiment consists of four outcomes with P(E1)
= .2, P(E2) = .3, and P(E3)
= .4. The probability of outcome E4 is _____.
a. .500
b. .900
c. .024
d. .100
A sample point refers to a(n) _____.
a.
individual outcome of an experiment
b. initial estimate of the probabilities of an
event
c. numerical measure of the likelihood of the
occurrence of an event
d. set of all possible experimental outcomes
Suppose we flip a fair coin five times and each
time it lands heads up. The probability of landing heads up on the next flip is
_____.
a. .5
b. .75
c. 1
d. 0
The
symbol ∪ indicates the _____.
a. intersection of events
b. union
of events
c. sample space
d. sum of the probabilities of
events
A
graphical method of representing the sample points of a multiple-step
experiment is a(n) _____.
a. tree
diagram
b. frequency polygon
c. histogram
d. ogive
You roll
a fair six-sided die with the hopes of rolling a 5 or a 6. These two events are
___________ because they have no sample points in common.
a. posterior events
b. independent events
c.
mutually exclusive events
d. complements
One of the basic requirements of probability is
_____.
a. P(A) = P(Ac)
b. if
there are k experimental outcomes, then P(E1)
+ P(E2) + ... + P(Ek)
= 1
c. for each experimental outcome Ei,
we must have P(Ei) ≥ 1
d. P(A) = P(Ac)
– 1
Revised probabilities of events based on additional
information are _____.
a. marginal probabilities
b. complementary probabilities
c.
posterior probabilities
d. joint probabilities
The
collection of all possible sample points in an experiment is _____.
a. the
sample space
b. a sample point
c. the population
d. an experiment
The symbol ∩ shows the _____.
a. sample space of events
b.
intersection of events
c. sum of the probabilities of events
d. union of events
If A and B are
mutually exclusive, then _____.
a. P(A∩B) = 1
b. P(A)
+ P(B) = 0
c. P(A∩B) = 0
d. P(A) + P(B)
= 1
In an
experiment, events A and B are mutually
exclusive. If P(A) = .6, then the probability of B
_____.
a. can be any value greater than .6
b. can be any value between 0 and 1
c.
cannot be larger than .4
d. must also be .6
If A and B are
independent events with P(A) = .05 and P(B)
= .65, then P(A | B) = _____.
a. .8
b. .65
c. .0325
d. .05
Two events are mutually exclusive if _____.
a. the probability of their intersection is 1
b. they
have no sample points in common
c. the probability of their intersection is .5
d. the probability of their intersection is 1
and they have no sample points in common
If A and B are
independent events with P(A) = 0.2 and P(B)
= 0.45, then P(A∪B)
= _____.
a. 0.89
b. 0.09
c. 0.65
d. 0.56
A method of assigning probabilities based upon
judgment is referred to as the _____.
a. probability method
b. relative frequency method
c. classical method
d.
subjective method
Two
events with nonzero probabilities _____.
a.
cannot be both mutually exclusive and independent
b. are always mutually exclusive
c. can be both mutually exclusive and
independent
d. are always independent
Of the
last 100 customers entering a computer shop, 72 have purchased a computer. If
the relative frequency method for computing probability is used, the
probability that the next customer will purchase a computer is _____.
a. 0.50
b. 1
c. 0.28
d. 0.72
Bayes'
theorem is used to compute _____.
a. the
posterior probabilities
b. the union of events
c. the intersection of events
d. the prior probabilities
The range of probability is _____,
a. any value between –1 to 1
b. any value larger than 0
c. 0 to
1, inclusive
d. any value between minus infinity to plus
infinity
Of the last 100 customers entering a computer shop,
25 have purchased a computer. If the relative frequency method for computing
probability is used, the probability that the next customer will purchase a
computer is _____.
a. .25
b. .50
c. 1
d. .75
The
probability of at least one head in two flips of a coin is _____.
a. .33
b. 1
c. .75
d. .50
A(n) __________ is a collection of sample points.
a. event
b. experiment
c. probability
d. permutation
Given
that event E has a probability of .25, the probability of the
complement of event E _____.
a. cannot be determined with the above
information.
b. can have any value between 0 and 1
c. must be .75
d. is .25
There is a 60% chance of getting stuck in traffic
when leaving the city. On two separate days, what is the probability that you
get stuck in traffic both days?
a. .60
b. 1.20
c. .30
d. .36
If P(A) = .85, P(B)
= .76, and P(A∩B) = .72, then P(A | B)
= _____.
a. .95
b. .15
c. .53
d. .25
If P(A | B)
= 0.5 and P(B) = 0.7, then _____.
a. P(A∩B) = 0.35
b. P(A∩B) = 0.20
c. P(B | A)
= 0.85
d. P(A) = 0.35
If X and Y are
mutually exclusive events with P(X) = .295, P(Y)
= .32, then P(X ∩Y) = _____.
a. .615
b. .094
c. 0
d. 1
A professor rolls a fair, six-sided die. Using the classical
method of probability, what is the probability that at least five spots will be
showing up on the die?
a. 0.5
b. 0.667
c. 0.333
d. 0.167
In an
experiment, events A and B are mutually
exclusive. If P(A) = .6, then the probability of B
_____.
a. can be any value greater than .6
b. can be any value between 0 and 1
c.
cannot be larger than .4
d. must also be .6
Events A and B are
mutually exclusive with P(A) = .3 and P(B)
= .2. The probability of the complement of event B equals
_____.
a. .06
b. .80
c. 0
d. .70
If A and B are
independent events with P(A) = 0.3 and P(B)
= 0.9, then P(A∪B) = _____.
a. 0.87
b. 0.93
c. 0.27
d. 0.90
Events A and B are
mutually exclusive with P(A) = 0.50 and P(B)
= 0.40. The probability of the complement of event B equals
_____.
a. 0
b. 0.60
c. 0.50
d. 0.20
Top of
Form
Twenty percent of people at a company picnic got food poisoning. What
percent of the people at the picnic did NOT get food poisoning?
a. 20%
b. 60%
c. 80%
d. 40%
Top of
Form
If A and B are mutually exclusive
events with P(A) = 0.10 and P(B) = 0.75,
then P(A∩B) = _____.
a. 0.05
b. 0.65
c. 0
d. 0.10
Top of
Form
Events A and B are mutually exclusive
with P(A) = 0.20 and P(B) = 0.10. The
probability of the complement of event B equals _____.
a. 0
b. 0.90
c. 0.80
d. 0.02
If A and B are independent
events with P(A) = .38 and P(B) = .55,
then P(A | B) =
a. .550
b. .209
c. .38
d. 0
Top of
Form
If a fair penny is tossed four times and comes up heads all four times,
the probability of heads on the fifth trial is _____.
a. .20
b. .50
c. .03125
d. 0
Top of
Form
The union of events A and B is the
event containing _____.
a. all the sample points belonging to A or B
b. all
the sample points belonging to A or B or
both
c. all the sample points belonging to A or B,
but not both
d. all the sample points common to both A and B
If A and B are
mutually exclusive events with P(A) = .3 and P(B)
= .5, then P(A∪B) =
a. 0
b. .2
c. .8
d. .15
If P(A)
= .75, P(A∪B)
= .86, and P(A ∩ B) = .56, then P(B)
=
a. .11
b. .67
c. .56
d. .25
Posterior probabilities are computed using _____.
a. Chebyshev's theorem
b. the classical method
c. the empirical rule
d. Bayes'
theorem
There is a 70% chance of getting stuck in traffic
when leaving the city. On two separate days, what is the probability that you
get stuck in traffic both days?
a. 0.49
b. 0.70
c. 1.40
d. 0.35
Bottom
of Form
An experiment consists of four outcomes with P(E1)
= .2, P(E2) = .3, and P(E3)
= .4. The probability of outcome E4 is _____.
a. .024
b. .100
c. .900
There is
a 60% chance of getting stuck in traffic when leaving the city. On two separate
days, what is the probability that you get stuck in traffic both days?
a. .36
b. .60
c. 1.20
d. .30
If a fair penny is tossed four times and comes up
heads all four times, the probability of heads on the fifth trial is _____.
a. .03125
b. .20
c. 0
d. .50
A
B
C
D
E
1
Prior
Conditional
Joint
2
Event
Probability
Probability
Probability
3
A1
0.25
0.31
For the Excel worksheet above, which of the following formulas would correctly
calculate the joint probability for cell D3?
a. =B3*C3
b. =B3+C3
c. =B3/C3
d. =SUM(B3:C3)
A
professor rolls a fair, six-sided die. Using the classical method of
probability, what is the probability that at least three spots will be showing
up on the die?
a. .67
b. .5
c. .3
d. .167
The probability of the union of two events with
nonzero probabilities cannot be _____.
a. less than 1
b. less than one and cannot be 1
c. 1
d. more than 1
If P(A | B)
= 0.4, _____.
a. P(Ac | B)
= 0.6
b. P(Ac | Bc)
= 0.6
c. P(B | A)
= 0.6
d. P(A | Bc)
= 0.6
Two events are mutually exclusive if _____.
a. the probability of their intersection is .5
b. the probability of their intersection is 1
c. they have no sample points in common
d. the probability of their intersection is 1
and they have no sample points in common
If A and B are
independent events with P(A) = 0.1 and P(B)
= .4, then _____.
a. P(A∩B) = .04
b. P(A∩B) = .5
c. P(A∩B) = 0
d. P(A∩B) = .25
The "Top Three" at a racetrack consists
of picking the correct order of the first three horses in a race. If there are
10 horses in a particular race, how many "Top Three" outcomes are
there?
a. 1,814,400
b. 302,400
c. 10
d. 720
Bottom
of Form
Bottom
of Form
Bottom
of Form
Bottom
of Form
The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed two times and event A did not occur, then on the third trial event A _____.
The multiplication law is potentially helpful when we are interested in computing the probability of _____.
If A and B are independent events with P(A) = 0.1 and P(B) = .4, then _____.
The range of probability is _____,
The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?
There is a 40% chance of getting stuck in traffic when leaving the city. On two separate days, what is the probability that you get stuck in traffic both days?
If P(A) = 0.50, P(B) = 0.46, and P(A ∩ B) = 0.35, then P(B | A) = _____.
If A and B are mutually exclusive, then _____.
If P(A ∩ B) = 0, _____.
A six-sided die is rolled three times. The probability of observing a 1 three times in a row is _____.
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
Number of Goals
Probability
0
0.10
1
0.15
2
0.10
3
0.30
4
0.35
What is the probability that in a given game the Lions will score less than 2 goals?
The standard deviation of a binomial distribution is _____.
A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages ( x ) in the city has the following probability distribution.
x
f (x)
0
0.80
1
0.15
2
0.04
3
0.01
The mean and the standard deviation for the number of electrical outages (respectively) are _____.
Variance is _____.
The key difference between binomial and hypergeometric distributions is that with the hypergeometric distribution the _____.
Assume that you have a binomial experiment with p = 0.2 and a sample size of 50. The variance of this distribution is _____.
Exhibit 5-10 The probability Pete will catch fish when he goes fishing is .8. Pete is going fishing 3 days next week.
What is the random variable in this experiment?
Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is _____.
When using Excel's HYPGEOM.DIST function, one should choose TRUE for the fifth input if _____.
The binomial probability distribution is used with _____.
Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
What is the probability that among the students in the sample at least 7 are female?
Which of the following is NOT a property of a binomial experiment?
Exhibit 5-4
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
Number of
Breakdowns
Probability
0
.12
1
.38
2
.25
3
.18
4
.07
The expected number of machine breakdowns per month is _____.
Exhibit 5-2
The probability distribution for the daily sales at Michael's Co. is given below.
Daily Sales ($1000s)
Probability
40
.1
50
.4
60
.3
70
.2
The expected daily sales are _____.
For a standard normal distribution, the probability of obtaining a z value of less than 1.6 is _____.
Exponential distributions _____.
For the standard normal probability distribution, the area to the left of the mean is _____.
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .1112?
A property of the exponential distribution is that the mean equals the _____.
About 95.4% of the values of a normal random variable are within approximately how many standard deviations of its mean?
A standard normal distribution is a normal distribution with _____.
Carlos has just created a new subnet for the finance department. He needs to be able to allow the employees in finance to retrieve files from the sales server, which is located in another subnet. Which of the following OSI model layers would it be necessary to categorize the device into? a. Layer 4 b. Layer 6 c. Layer 2 d. Layer 3 All of the cubicles in a company's office have cables that run up to the ceiling and across to an IDF. Inside the IDF, they connect directly to the latest generation switch available from the networking equipment vendor that they have chosen. Which of the following describes the physical topology most likely in use? a. mesh
Some of the advantages of using time boxes and cycles in project coordination efforts include creating urgency, measuring progress, and allowing for predictable measurements. A) True 2. Even though most project managers are not contract specialists, they need to understand the process well enough to coordinate with the team. For the current assignment, you are looking at a short-term and small effort with a contractor of just a few hours without significant clarity. Which of the following would be the most applicable contract to use in this situation? A) Time and materials 3. The project you are working on has had modifications to the plan from the start and even how the project is run. Project governance covers all of the 3 following except: A) Naming The project manager 4. Of the following, which is most likely a trigger condition defined early in the project? A) Alerting Governance board if 10 percent over schedule 5. Of the following options, which stand
A process or product that is insensitive to normal variation is referred to as being Select one: a. in specification b. capable c. robust d. out of control Feedback Your answer is correct. A completed failure mode and effects analysis (FMEA) results in the following assessment rating. Occurrence = 4 Severity = 8 Detection = 10 What is the risk priority number (RPN) for this FMEA? Select one: a. 42 b. 22 c. 320 d. 120 Feedback Your answer is correct. In a visual inspection situation, one of the best ways to minimize deterioration of the quality level is to: Select one: a. have a program of frequent eye exams. b. retrain the inspector frequently. c. add variety to the task. d. have a standard to compare against as an element of the operation. Feedback Your answer is correct. Which of the following elements is least necessary to a good corrective action feedback report? Select one: a. What caused the failure b. Who caused the failure c. What correction has been made d. Wh
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