Question 1

For the normal distribution, the mean plus and minus 1.96 standard deviations will include what percent of the observations?

Accepted Answer

95%

Question 2

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.
 $$\begin{array} { | c | c | } 
\hline \text { Commute Length } & \text { Number af Observations } \
\hline \text { commute time } < 10 \text { minutes } & 1 \
\hline 10 \leq \text { commute time } < 20 \text { minutes } & 2 \
\hline 20 \leq \text { commute time } < 30 \text { minutes } & 4 \
\hline 30 \leq \text { commute time } < 40 \text { minutes } & 9 \
\hline 40 \leq \text { commute time } < 50 \text { minutes } & 4 \
\hline
\end{array}$$
-What is the likelihood that the commute will take 30 minutes or longer?

Accepted Answer

13/20 = 65%

Question 3

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?

Accepted Answer

A)  .0668 
B)  .1587 
C)  .4332 
D)  .9332 
A)  .0668 
B)  .1587 
C)  .4332 
D)  .9332 A

Question 4

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.
$\begin{array}{|c|c|c|c|c|c|c|c|}
\hline x_{i} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \
\begin{array}{c}

\end{array} & & & & & & & \
\hline & & & & & & & \
& & & & & & & \
\begin{array}{c}

\end{array} p( x_i)& .10 & .15 & .18 & .20 & .20 & .10 & .07 \
\hline

\end{array}$

The area under the normal curve represents probability, and the total area under the curve sums to:

Accepted Answer

A)  0 
B)  0.5 
C)  1 
D)  2 
A)  0 
B)  0.5 
C)  1 
D)  2

Question 5

If events A and B are independent, then P(AB) = ________.

Accepted Answer

<i>P(A)</i

Question 6

A paint manufacturer's production process is normally distributed with a mean of 100,000 gallons and a standard deviation of 10,000 gallons. Management wants to create an incentive bonus for the production crew when the daily production exceeds the 94th percentile of the distribution. At what level of production should management pay the incentive bonus?

Accepted Answer

z = 1.56, so the inc

Question 7

Objective probabilities that can be stated prior to the occurrence of an event are ________.

Accepted Answer

classical

Question 8

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.
 $$\begin{array} { | c | c | } 
\hline \text { Commute Length } & \text { Number af Observations } \
\hline \text { commute time } < 10 \text { minutes } & 1 \
\hline 10 \leq \text { commute time } < 20 \text { minutes } & 2 \
\hline 20 \leq \text { commute time } < 30 \text { minutes } & 4 \
\hline 30 \leq \text { commute time } < 40 \text { minutes } & 9 \
\hline 40 \leq \text { commute time } < 50 \text { minutes } & 4 \
\hline
\end{array}$$
-What is the duration of Mr. Lane's expected commute?

Accepted Answer

A)  31.5 minutes 
B)  27.25 minutes 
C)  25.5 minutes 
D)  33.75 minutes 
A)  31.5 minutes 
B)  27.25 minutes 
C)  25.5 minutes 
D)  33.75 minutes

Question 9

The Dean's Office keeps tracks of student complaints received each week. The probability distribution for complaints can be represented as a table as shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.
  
-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?

Accepted Answer

The answer of The Dean's Office keeps tracks of student...

Question 10

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? (Round your answer.)

Accepted Answer

A)  43 
B)  49 
C)  50 
D)  55 
A)  43 
B)  49 
C)  50 
D)  55

Question 11

In Bayesian analysis, additional information is used to alter the ________ probability of the occurrence of an event.

Accepted Answer

A)  marginal 
B)  conditional 
C)  binomial 
D)  revised 
A)  marginal 
B)  conditional 
C)  binomial 
D)  revised

Question 12

The probability of independent events occurring in succession is computed by ________ the probabilities of each event.

Accepted Answer

A)  multiplying 
B)  adding 
C)  subtracting 
D)  dividing 
A)  multiplying 
B)  adding 
C)  subtracting 
D)  dividing

Question 13

Almost all of the data from a normal distribution fall within ________ standard deviations of the mean.

Accepted Answer

The answer of Almost all of the data from a...

Question 14

Assume that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2. Find the probability that X is between 48 and 55.

Accepted Answer

The answer of Assume that X is a normally distributed...

Question 15

A continuous random variable may assume only integer values within a given interval.

Accepted Answer

A) True 
 B)False

Question 16

Deterministic techniques assume that no uncertainty exists in model parameters.

Accepted Answer

A) True 
 B)False

Question 17

A succession of events that does not affect other events is independent.

Accepted Answer

A) True 
 B)False

Question 18

Subjective probability is an estimate based on personal belief, experience, or knowledge of a situation.

Accepted Answer

A) True 
 B)False

Question 19

The events in an experiment are ________ if only one can occur at a time.

Accepted Answer

The answer of The events in an experiment are ________...

Question 20

________ is a measure of dispersion of random variable values about the expected value.

Accepted Answer

The answer of ________ is a measure of dispersion of...

For the normal distribution, the mean plus and minus 1.96 standard deviations will include what percent of the observations?

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?

If events A and B are independent, then P(AB) = ________.

Objective probabilities that can be stated prior to the occurrence of an event are ________.

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? (Round your answer.)

In Bayesian analysis, additional information is used to alter the ________ probability of the occurrence of an event.

The probability of independent events occurring in succession is computed by ________ the probabilities of each event.

Almost all of the data from a normal distribution fall within ________ standard deviations of the mean.

Assume that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2. Find the probability that X is between 48 and 55.

A continuous random variable may assume only integer values within a given interval.

Deterministic techniques assume that no uncertainty exists in model parameters.

A succession of events that does not affect other events is independent.

Subjective probability is an estimate based on personal belief, experience, or knowledge of a situation.

The events in an experiment are ________ if only one can occur at a time.

________ is a measure of dispersion of random variable values about the expected value.

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Exam 11: Probability and Statistics

For the normal distribution, the mean plus and minus 1.96 standard deviations will include what percent of the observations?

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?

If events A and B are independent, then P(AB) = ________.

Objective probabilities that can be stated prior to the occurrence of an event are ________.

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? (Round your answer.)

In Bayesian analysis, additional information is used to alter the ________ probability of the occurrence of an event.

The probability of independent events occurring in succession is computed by ________ the probabilities of each event.

Almost all of the data from a normal distribution fall within ________ standard deviations of the mean.

Assume that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2. Find the probability that X is between 48 and 55.

A continuous random variable may assume only integer values within a given interval.

Deterministic techniques assume that no uncertainty exists in model parameters.

A succession of events that does not affect other events is independent.

Subjective probability is an estimate based on personal belief, experience, or knowledge of a situation.

The events in an experiment are ________ if only one can occur at a time.

________ is a measure of dispersion of random variable values about the expected value.

Management Science

Linear Programming: Model Formulation and Graphical Solution

Linear Programming: Computer Solution and Sensitivity Analysis

Linear Programming: Modeling Examples

Integer Programming

Transportation, Transshipment, and Assignment Problems

Network Flow Models

Project Management

Multicriteria Decision Making

Nonlinear Programming

Decision Analysis

Queuing Analysis

Simulation

Forecasting

Inventory Management

the Simplex Solution Method

Transportation and Assignment Solution Methods

Integer Programming: the Branch and Bound Method

Nonlinear Programming: Solution Techniques

Game Theory

Markov Analysis

Filters