Question 1
Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table.
|
Conunute Length
|
Number of Observations
|
|
commute time <10minutes
|
1
|
|
10 s commute time < 20 minutes
|
2
|
|
20 s commute time < 30 minutes
|
4
|
|
30 s commute time <40 minutes
|
9
|
|
40 s commute time <50 minutes
|
4
|
What is the probability that Mr. Lane makes it home in under thirty minutes?
.15
.35
.20
.55
Question 2
For the normal distribution, the mean plus and minus 1.96 standard deviations will include what percent of the observations?
84%
90%
95%
97%
Question 3
If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.
0.3551
0.3085
0.2674
0.1915
Question 4
Under the normal curve, the area between z = 1 and z = 2 includes approximately _______ of the values.
98%
95%
85%
82%
Question 5
For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3554. The value of Z is:
0.31
0.36
0.95
1.06
Question 6
__________is a measure of the dispersion of random variable values about the expected value or mean.
Standard deviation
Sample mean
Population mean
Expected value
Question 7
The area under the normal curve represents probability, and the total area under the curve sums to:
0
0.5
1
2
Question 8
In a given experiment the probabilities of mutually exclusive events sum to:
0
0.5
1
2
Question 9
This cannot be answered without knowing the probability values of the events. Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will be accepted at both universities?
.65
.25
.20
.09
Question 10
Bayesian analysis involves a(n) _________ probability.
a priori
posterior
joint
relative frequency
Question 11
The _________ and variance are derived from a subset of the population data and are used to make inferences about the population.
population variance
population standard
deviation population mean
sample mean
Question 12
A professor would like to assign grades such that 7% of students receive Fs. If the exam average is 62 with a standard deviation of 13, what grade should be the cutoff for an F?
43
49
50
55
Question 13
In a ____________ distribution, for each of n trials, the event always has the same probability of occurring.
binomial
joint
frequency
standard
Question 14
Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table.
|
Conunute Length
|
Number of Observations
|
|
commute time <10minutes
|
1
|
|
10 s commute time < 20 minutes
|
2
|
|
20 s commute time < 30 minutes
|
4
|
|
30 s commute time <40 minutes
|
9
|
|
40 s commute time <50 minutes
|
4
|
Which of these events are mutually exclusive?
The duration of Mr. Lane's commute is less than expected; Mr. Lane's commute is between twenty and thirty minutes.
Mr. Lane's commute is longer than 30 minutes; Mr. Lane's commute is longer than 40 minutes.
Mr Lanes commute is between ten and forty minutes; Mr. Lane's commute is between twenty and thirty minutes.
Mr. Lane's commute takes less than ten minutes; Mr Lane's commute exceeds his expected commute.
Question 15
Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category.
|
Job.
|
Male (M)
|
Female (F)
|
|
Administrative (AD)
|
110
|
10
|
|
Salaried staff (SS)
|
30
|
50
|
|
Hourly staff (HS)
|
60
|
40
|
If an employee is selected at random, what is the probability that the employee is female or works as a member of the administration?
.17
.67
.70
.73
Question 16
___________ techniques assume that no uncertainty exists in model parameters.
Probability
Probabilistic
Deterministic
Distribution
Question 17
Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table.
|
Conunute Length
|
Number of Observations
|
|
commute time <10minutes
|
1
|
|
10 s commute time < 20 minutes
|
2
|
|
20 s commute time < 30 minutes
|
4
|
|
30 s commute time <40 minutes
|
9
|
|
40 s commute time <50 minutes
|
4
|
What is the duration of Mr. Lane's expected commute?
31.5 minutes
27.25 minutes
25.5 minutes
33.75 minutes
Question 18
The probability of independent events occurring in succession is computed by _________ the probabilities of each event.
multiplying
adding
subtracting
dividing
Question 19
Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will not be accepted at either university?
.30
.36
.44
.56
Question 20
Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. What time is exceeded by approximately 75% of the college students when trying to find a parking spot in the main parking lot?
3.65 minutes
5.75 minutes
6.36 minutes
9.21 minutes
Question 21
The weight of a jar of jelly is normally distributed with a mean of 16 oz and a standard deviation of 0.02 oz. What is the probability that a jar of jelly contains more than 16.03 oz?
.0668
.1587
.4332
.9332
Question 22
A _________ probability is the altered marginal probability of an event based on additional information.
posterior
joint
marginal
conditional
Question 23
For some value of Z, the probability that a standard normal variable is below Z is 0.3783. The value of Z is:
0.81
0.31
0.82
1.55
Question 24
Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. Find the probability that a randomly selected college student will take between 2 and 6 minutes to find a parking spot in the main parking lot.
0.1950
0.4772
0.4332
0.6247
Question 25
A company markets educational software products and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of "success" is 80%. Assume that the probability of success is independent for each product. What is the probability that exactly 1 of the 3 products is successful?
0.80
0.032
0.24
0.096
Question 26
Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table.
|
Conunute Length
|
Number of Observations
|
|
commute time <10minutes
|
1
|
|
10 s commute time < 20 minutes
|
2
|
|
20 s commute time < 30 minutes
|
4
|
|
30 s commute time <40 minutes
|
9
|
|
40 s commute time <50 minutes
|
4
|
What kind of probability is demonstrated if Mr. Lane is asked to predict the duration of his next commute?
subjective probability
conjecture probability
objective probability
reflexive probability
Question 27
__________ probability is an estimate based on personal belief, experience, or knowledge of a situation.
Binomial
Subjective
Marginal
Joint
Question 28
A __________ fair die is rolled nine times. What is the probability that an odd number (1, 3, or 5) will occur less than 3 times?
.0899
.2544
.7456
.9101
Question 29
A probability distribution indicates the probability of r successes in n trials.
joint
subjective
marginal
binomial
Question 30
A __________ probability is the probability of a single event occurring.
subjective
binomial
marginal
joint
Question 31
An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as the table shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.
|
Xi
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
p (xi)
|
.10
|
.15
|
.18
|
.20
|
.20
|
.10
|
07
|
What is the average number of complaints received per week?
2.12
3.32
4.12
2.83
Question 32
The weight of a jar of jelly is normally distributed with a mean of 16 oz and a standard deviation of 0.02 oz. What is the probability that a jar of jelly contains less than 16 oz?
.1915
.3085
.5000
.7257
Question 33
A professor would like to assign grades such that 5% of students receive As. If the exam average is 62 with a standard deviation of 13, what grade should be the cutoff for an A? (Round your answer.)
80
83
90
93
Question 34
Under the normal curve, the area between z = 2 and z = 2 includes _______ of the values.
98%
96%
95%
93%
Question 35
The owner of a seafood market determined that the average weight for a crab is 1.6 pounds with a standard deviation of 0.4 pound. What weight is exceeded by 2% of all of the crabs? (Assume the weights are normally distributed.)
0.78 pounds
1.82 pounds
2.42 pounds
4.36 pounds
Question 36
The expected value of the standard normal distribution is equal to:
0
1
1.5
2
Question 37
Mutually exclusive events are
events with identical probabilities.
events that have no outcomes in common.
events that have no effect on each other.
events that are represented in a Venn diagram by two overlapping circles.
Question 38
Experiments with repeated independent trials will be described by the binomial distribution if
each trial result influences the next.
each trial has exactly two outcomes whose probabilities do not change.
the trials are continuous.
the time between trials is constant.
Question 39
Objective probabilities that can be stated prior to the occurrence of an event are
deterministic or probabilistic.
subjective or objective.
classical or a priori.
relative or subjective.
Question 40
In a binomial distribution, for each of n trials, the event
time between trials is constant.
always has the same probability of occurring.
result of the first trial influence the next trial.
trials are continuous.
Question 41
For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.2910. The value of Z is:
0.17
0.81
1.25
1.65
Question 42
Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category.
|
Job.
|
Male (M)
|
Female (F)
|
|
Administrative (AD)
|
110
|
10
|
|
Salaried staff (SS)
|
30
|
50
|
|
Hourly staff (HS)
|
60
|
40
|
If an employee is selected at random, what is the probability that the employee is female given that the employee is a salaried staff member?
.50
.60
.625
.70
Question 43
A fair die is rolled 8 times. What is the probability that an even number (2, 4, or 6) will occur between 2 and 4 times?
.2188
.4922
.6016
.8204
Question 44
A ___________ probability is the probability that an event will occur given that another event has already occurred.
subjective
objective
conditional
binomial
Question 45
The events in an experiment are __________ if only one can occur at a time.
mutually exclusive
non-mutually exclusive
mutually inclusive
independent
Question 46
In Bayesian analysis, additional information is used to alter the __________ probability of the occurrence of an event.
marginal
conditional
binomial
revised
Question 47
The metropolitan airport commission is considering the establishment of limitations on noise pollution around a local airport. At the present time, the noise level per jet takeoff in one neighborhood near the airport is approximately normally distributed with a mean of 100 decibels and a standard deviation of 3 decibels. What is the probability that a randomly selected jet will generate a noise level of more than 105 decibels?
0.0228
0.0475
0.0485
0.0500
Question 48
A frequency distribution is an organization of __________ data about the events in an experiment.
quantitative
integer
qualitative
unknown