Question 1

Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

Accepted Answer

A)  The experiment has a sequence of n identical trials 
B)  Exactly two outcomes are possible on each trial 
C)  The trials are dependent 
D)  The probabilities of the outcomes do not change from one trial to another 
A)  The experiment has a sequence of n identical trials 
B)  Exactly two outcomes are possible on each trial 
C)  The trials are dependent 
D)  The probabilities of the outcomes do not change from one trial to another

Question 2

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a

Accepted Answer

A)  discrete random variable. 
B)  continuous random variable. 
C)  mixed type random variable. 
D)  multivariate random variable. 
A)  discrete random variable. 
B)  continuous random variable. 
C)  mixed type random variable. 
D)  multivariate random variable.

Question 3

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use th​e

Accepted Answer

A)  ​binomial probability distribution. 
B)  ​Poisson probability distribution. 
C)  ​hypergeometric probability distribution. 
D)  ​exponential probability distribution. 
A)  ​binomial probability distribution. 
B)  ​Poisson probability distribution. 
C)  ​hypergeometric probability distribution. 
D)  ​exponential probability distribution.

Question 4

A continuous random variable may assume

Accepted Answer

A)  any numerical value in an interval or collection of intervals. 
B)  finite number of values in a collection of intervals. 
C)  an infinite sequence of values. 
D)  only the positive integer values in an interval. 
A)  any numerical value in an interval or collection of intervals. 
B)  finite number of values in a collection of intervals. 
C)  an infinite sequence of values. 
D)  only the positive integer values in an interval.

Question 5

The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3.The appropriate probability distribution for the random variable is

Accepted Answer

A)  discrete. 
B)  continuous. 
C)  either discrete or continuous depending on how the interval is defined. 
D)  binomial. 
A)  discrete. 
B)  continuous. 
C)  either discrete or continuous depending on how the interval is defined. 
D)  binomial.

Question 6

The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3.Which of the following discrete probability distributions' properties are satisfied by random variable x?

Accepted Answer

A)  Normal 
B)  Poisson 
C)  Binomial 
D)  Hypergeometric 
A)  Normal 
B)  Poisson 
C)  Binomial 
D)  Hypergeometric

Question 7

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

Accepted Answer

A)  20. 
B)  12. 
C)  3.46. 
D)  144. 
A)  20. 
B)  12. 
C)  3.46. 
D)  144.

Question 8

A binomial probability distribution with p = .3 is​

Accepted Answer

A)  ​negatively skewed. 
B)  ​symmetric. 
C)  ​positively skewed. 
D)  ​multi-modal. 
A)  ​negatively skewed. 
B)  ​symmetric. 
C)  ​positively skewed. 
D)  ​multi-modal.

Question 9

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected.The probability that there are no females in the sample is

Accepted Answer

A)  0.0778 
B)  0.7780 
C)  0.5000 
D)  0.3456 
A)  0.0778 
B)  0.7780 
C)  0.5000 
D)  0.3456

Question 10

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material.The probability distribution that has the greatest chance of applying to this situation is the

Accepted Answer

A)  Normal distribution. 
B)  Binomial distribution. 
C)  Poisson distribution. 
D)  Uniform distribution. 
A)  Normal distribution. 
B)  Binomial distribution. 
C)  Poisson distribution. 
D)  Uniform distribution.

Question 11

Which of the following is a required condition for a discrete probability function?

Accepted Answer

A)  f(x) $\leq$ 0 for all values of x 
B)  $\Sigma$f(x) = 1 for all values of x 
C)  $\Sigma$f(x) = 0 for all values of x 
D)  $\Sigma$f(x) $\geq$ 1 for all values of x 
A)  f(x) $\leq$ 0 for all values of x 
B)  $\Sigma$f(x) = 1 for all values of x 
C)  $\Sigma$f(x) = 0 for all values of x 
D)  $\Sigma$f(x) $\geq$ 1 for all values of x

Question 12

The expected value of a discrete random variable

Accepted Answer

A)  is the most likely or highest probability value for the random variable. 
B)  will always be one of the values x can take on, although it may not be the highest probability value for the random variable. 
C)  is the average value for the random variable over many repeats of the experiment. 
D)  is the value it is expected to assume in the next trial. 
A)  is the most likely or highest probability value for the random variable. 
B)  will always be one of the values x can take on, although it may not be the highest probability value for the random variable. 
C)  is the average value for the random variable over many repeats of the experiment. 
D)  is the value it is expected to assume in the next trial.

Question 13

The expected value of a random variable is

Accepted Answer

A)  the value of the random variable that should be observed on the next repeat of the experiment 
B)  the value of the random variable that occurs most frequently 
C)  the square root of the variance 
D)  None of these alternatives is correct. 
A)  the value of the random variable that should be observed on the next repeat of the experiment 
B)  the value of the random variable that occurs most frequently 
C)  the square root of the variance 
D)  None of these alternatives is correct.

Question 14

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. $\begin{array}{cc}
\text { Production } & \
\text { Per Month } & \text { Probability } \
1 & 0.01 \
2 & 0.04 \
3 & 0.10 \
4 & 0.80 \
5 & 0.05
\end{array}$ The standard deviation for the production is

Accepted Answer

A)  4.32 
B)  3.74 
C)  0.374 
D)  0.612 
A)  4.32 
B)  3.74 
C)  0.374 
D)  0.612

Question 15

Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. $$\begin{array}{l}
\text { Number of }\
\begin{array} { c c } 
\text { New Clients } & \text { Probability } \
\hline 0 & 0.05 \
1 & 0.10 \
2 & 0.15 \
3 & 0.35 \
4 & 0.20 \
5 & 0.10 \
6 & 0.05
\end{array}
\end{array}$$ 
The standard deviation is

Accepted Answer

A)   1.431 
B)   2.047 
C)   3.05 
D)   21 
A)   1.431 
B)   2.047 
C)   3.05 
D)   21

Question 16

Experiments with repeated independent trials will be described by the binomial distribution if​

Accepted Answer

A)  ​the trials are continuous. 
B)  ​each trial result influences the next. 
C)  ​the time between trials is constant. 
D)  ​each trial has exactly two outcomes whose probabilities do not change. 
A)  ​the trials are continuous. 
B)  ​each trial result influences the next. 
C)  ​the time between trials is constant. 
D)  ​each trial has exactly two outcomes whose probabilities do not change.

Question 17

Consider the probability distribution below. x
F(x)
10
)2
20
)3
30
)4
40
)1
​
The expected value of x equals

Accepted Answer

A)  24 
B)  25 
C)  30 
D)  100 
A)  24 
B)  25 
C)  30 
D)  100

Question 18

The weight of an object, measured to the nearest gram, is an example of​

Accepted Answer

A)  ​a continuous random variable. 
B)  ​a discrete random variable. 
C)  ​a nominal random variable. 
D)  ​a mixed type random variable. 
A)  ​a continuous random variable. 
B)  ​a discrete random variable. 
C)  ​a nominal random variable. 
D)  ​a mixed type random variable.

Question 19

Assume that you have a binomial experiment with p= 0.4 and a sample size of 50.The variance of this distribution is?

Accepted Answer

A)  20 
B)  12 
C)  3.46 
D)  2.83 
A)  20 
B)  12 
C)  3.46 
D)  2.83

Question 20

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

Accepted Answer

A)  0.0778 
B)  0.7780 
C)  0.5000 
D)  0.3456 
A)  0.0778 
B)  0.7780 
C)  0.5000 
D)  0.3456

Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

A continuous random variable may assume

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

A binomial probability distribution with p = .3 is

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected.The probability that there are no females in the sample is

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material.The probability distribution that has the greatest chance of applying to this situation is the

Which of the following is a required condition for a discrete probability function?

The expected value of a discrete random variable

The expected value of a random variable is

Experiments with repeated independent trials will be described by the binomial distribution if

Consider the probability distribution below. x F(x) 10 )2 20 )3 30 )4 40 )1 The expected value of x equals

The weight of an object, measured to the nearest gram, is an example of

Assume that you have a binomial experiment with p= 0.4 and a sample size of 50.The variance of this distribution is?

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 5: Discrete Probability Distributions

Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use th​e

A continuous random variable may assume

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

A binomial probability distribution with p = .3 is​

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected.The probability that there are no females in the sample is

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material.The probability distribution that has the greatest chance of applying to this situation is the

Which of the following is a required condition for a discrete probability function?

The expected value of a discrete random variable

The expected value of a random variable is

Experiments with repeated independent trials will be described by the binomial distribution if​

Consider the probability distribution below. x F(x) 10 )2 20 )3 30 )4 40 )1 ​ The expected value of x equals

The weight of an object, measured to the nearest gram, is an example of​

Assume that you have a binomial experiment with p= 0.4 and a sample size of 50.The variance of this distribution is?

Forty percent of all registered voters in a national election are female.A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the

A binomial probability distribution with p = .3 is

Experiments with repeated independent trials will be described by the binomial distribution if

Consider the probability distribution below. x F(x) 10 )2 20 )3 30 )4 40 )1 The expected value of x equals

The weight of an object, measured to the nearest gram, is an example of