Question 1

If two events are independent, then

Accepted Answer

A)  they must be mutually exclusive. 
B)  the sum of their probabilities must be equal to one. 
C)  their intersection must be zero. 
D)  the product of their probabilities gives their intersection. 
A)  they must be mutually exclusive. 
B)  the sum of their probabilities must be equal to one. 
C)  their intersection must be zero. 
D)  the product of their probabilities gives their intersection.

Question 2

The range of probability values is

Accepted Answer

A)  0 to infinity. 
B)  minus infinity to plus infinity. 
C)  0 to 1. 
D)  -1 to 1. 
A)  0 to infinity. 
B)  minus infinity to plus infinity. 
C)  0 to 1. 
D)  -1 to 1.

Question 3

A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses. Then, on the seventh trial

Accepted Answer

A)  tail can not appear. 
B)  head has a larger chance of appearing than tail. 
C)  tail has a better chance of appearing than head. 
D)  tail has same chance of appearing as the head. 
A)  tail can not appear. 
B)  head has a larger chance of appearing than tail. 
C)  tail has a better chance of appearing than head. 
D)  tail has same chance of appearing as the head.

Question 4

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)

Accepted Answer

A)  3 
B)  6 
C)  8 
D)  9 
A)  3 
B)  6 
C)  8 
D)  9

Question 5

Events A and B are mutually exclusive. Which of the following statements is also true?

Accepted Answer

A)  A and B are also independent. 
B)  P(A ∪ 
B)  = P(
A) P(
B)  
C)  P(A ∪ 
B)  = P(
A)  + P(
B)  
D)  P(A ∩ 
B)  = P(
A)  + P(
B)  
A)  A and B are also independent. 
B)  P(A ∪ 
B)  = P(
A) P(
B)  
C)  P(A ∪ 
B)  = P(
A)  + P(
B)  
D)  P(A ∩ 
B)  = P(
A)  + P(
B)

Question 6

The union of events A and B is the event containing all the sample points belonging to

Accepted Answer

A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both. 
A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both.

Question 7

Bayes' theorem is used to compute

Accepted Answer

A)  the prior probabilities. 
B)  the union of events. 
C)  intersection of events. 
D)  the posterior probabilities. 
A)  the prior probabilities. 
B)  the union of events. 
C)  intersection of events. 
D)  the posterior probabilities.

Question 8

Each individual outcome of an experiment is called

Accepted Answer

A)  the sample space. 
B)  a sample point. 
C)  a trial. 
D)  an event. 
A)  the sample space. 
B)  a sample point. 
C)  a trial. 
D)  an event.

Question 9

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

Accepted Answer

A)  supplementary events. 
B)  mutually exclusive. 
C)  independent events. 
D)  complements of each other. 
A)  supplementary events. 
B)  mutually exclusive. 
C)  independent events. 
D)  complements of each other.

Question 10

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

Accepted Answer

A)  Pie chart. 
B)  Venn diagram. 
C)  Pareto chart. 
D)  Box plot. 
A)  Pie chart. 
B)  Venn diagram. 
C)  Pareto chart. 
D)  Box plot.

Question 11

In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B

Accepted Answer

A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given. 
A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given.

Question 12

The sum of the probabilities of two complementary events is

Accepted Answer

A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0. 
A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0.

Question 13

From a group of six people, two individuals are to be selected at random. How many selections are possible?

Accepted Answer

A)  12 
B)  36 
C)  15 
D)  8 
A)  12 
B)  36 
C)  15 
D)  8

Question 14

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

Accepted Answer

A)  much larger than any other outcome. 
B)  much smaller than any other outcome. 
C)  the same as any other outcome. 
D)  not able to be determined before the die is tossed. 
A)  much larger than any other outcome. 
B)  much smaller than any other outcome. 
C)  the same as any other outcome. 
D)  not able to be determined before the die is tossed.

Question 15

The addition law is potentially helpful when we are interested in computing the probability of

Accepted Answer

A)  independent events 
B)  the intersection of two events 
C)  the union of two events 
D)  conditional events 
A)  independent events 
B)  the intersection of two events 
C)  the union of two events 
D)  conditional events

Question 16

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

Accepted Answer

A)  must occur. 
B)  may occur. 
C)  could not occur. 
D)  has a 2/3 probability of occurring. 
A)  must occur. 
B)  may occur. 
C)  could not occur. 
D)  has a 2/3 probability of occurring.

Question 17

A method of assigning probabilities based on historical data is called the _____ method.

Accepted Answer

A)  classical 
B)  subjective 
C)  relative frequency 
D)  progressive 
A)  classical 
B)  subjective 
C)  relative frequency 
D)  progressive

Question 18

The multiplication law is potentially helpful when we are interested in computing the probability of

Accepted Answer

A)  mutually exclusive events. 
B)  the intersection of two events. 
C)  the union of two events. 
D)  conditional events. 
A)  mutually exclusive events. 
B)  the intersection of two events. 
C)  the union of two events. 
D)  conditional events.

Question 19

Of the last 100 customers entering a computer shop, 40have purchased a computer. If the classical method for computing probability is used, the probability that the next customer will purchase a computer is

Accepted Answer

A)  0.40. 
B)  0.50. 
C)  1.00. 
D)  0.60. 
A)  0.40. 
B)  0.50. 
C)  1.00. 
D)  0.60.

Question 20

A method of assigning probabilities based upon judgment is referred to as the _____ method.

Accepted Answer

A)  relative 
B)  probability 
C)  classical 
D)  subjective 
A)  relative 
B)  probability 
C)  classical 
D)  subjective

Exam 4: Introduction to Probability

If two events are independent, then

The range of probability values is

A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses. Then, on the seventh trial

Events A and B are mutually exclusive. Which of the following statements is also true?

The union of events A and B is the event containing all the sample points belonging to

Bayes' theorem is used to compute

Each individual outcome of an experiment is called

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B

The sum of the probabilities of two complementary events is

From a group of six people, two individuals are to be selected at random. How many selections are possible?

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

The addition law is potentially helpful when we are interested in computing the probability of

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

A method of assigning probabilities based on historical data is called the _____ method.

The multiplication law is potentially helpful when we are interested in computing the probability of

Of the last 100 customers entering a computer shop, 40have purchased a computer. If the classical method for computing probability is used, the probability that the next customer will purchase a computer is

A method of assigning probabilities based upon judgment is referred to as the _____ method.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

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, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

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