Question 1

If two events are mutually exclusive, then the two events are also independent.

Accepted Answer

A) True 
 B)False

Question 2

The mn counting rule may only be used when there are two operations from which to count.

Accepted Answer

A) True 
 B)False

Question 3

If X and Y are mutually exclusive, then ___.

Accepted Answer

A) the probability of the union is zero 
B) P(X)= 1 - P(Y) 
C) the probability of the intersection is zero 
D) the probability of the union is one 
E) P(Y)= P(X) 
A) the probability of the union is zero 
B) P(X)= 1 - P(Y) 
C) the probability of the intersection is zero 
D) the probability of the union is one 
E) P(Y)= P(X)

Question 4

An event is a process that produces outcomes.

Accepted Answer

A) True 
 B)False

Question 5

The general law of addition is P(X$\cup$Y)= P(X)+ P(Y)- P(X$\cap$Y).

Accepted Answer

A) True 
 B)False

Question 6

All possible elementary events for an experiment is referred to as collectively exhaustive events.

Accepted Answer

A) True 
 B)False

Question 7

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the joint probability table below that was developed from the dealer's records for the previous year, P (Female $\cap$SUV)= _______.

Accepted Answer

A) 0.30 
B) 0.40 
C) 0.12 
D) 0.10 
E) 0.60 
A) 0.30 
B) 0.40 
C) 0.12 
D) 0.10 
E) 0.60

Question 8

In a set of 15 aluminum castings, two castings are defective (D), and the remaining thirteen are good (G).A quality control inspector randomly selects three of the fifteen castings without replacement and classifies each as defective (D)or good (G).How large is the sample space?

Accepted Answer

A) 3,375 
B) 2,730 
C) 455 
D) 15 
E) 3 
A) 3,375 
B) 2,730 
C) 455 
D) 15 
E) 3

Question 9

Five people are selected from a group of 20 to form a committee.How many different committee combinations could be formed?

Accepted Answer

A) 100 
B) 120 
C) 15,504 
D) 3.2 Million 
E) 9,5 Billion 
A) 100 
B) 120 
C) 15,504 
D) 3.2 Million 
E) 9,5 Billion

Question 10

P(B$\mid$A)denotes the posterior probability of event B given event A.

Accepted Answer

A) True 
 B)False

Question 11

Events A and B are said to be independent if either P(A$\mid$B)= P(B)or if P(B$\mid$A)= P(A).

Accepted Answer

A) True 
 B)False

Question 12

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labelled A, B, and C.The consumers are classified according to age and package design preference.   Are "B" and "25 or older" independent and why or why not?

Accepted Answer

A) No, because P (25 or over | 
B) $\neq$ P (
B) . 
B) Yes, because P (
B) = P(
C) . 
C) No, because P (25 or older | 
B) $\neq$ P (25 or older). 
D) Yes, because P (25 or older $\cap$
B) $\neq$ 0. 
E) No, because age and package design are different things. 
A) No, because P (25 or over | 
B) $\neq$ P (
B) . 
B) Yes, because P (
B) = P(
C) . 
C) No, because P (25 or older | 
B) $\neq$ P (25 or older). 
D) Yes, because P (25 or older $\cap$
B) $\neq$ 0. 
E) No, because age and package design are different things.

Question 13

If P(X|Y)= P(X)then the events X and Y are independent.

Accepted Answer

A) True 
 B)False

Question 14

Given the following joint probability table, find the probability that a dog is large and takes less than 30-minute walks?

Accepted Answer

A) 63% 
B) 22% 
C) 29% 
D) 51% 
E) 32% 
A) 63% 
B) 22% 
C) 29% 
D) 51% 
E) 32%

Question 15

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

Accepted Answer

A) True 
 B)False

Question 16

An event that cannot be broken down into other events is called a certainty outcome.

Accepted Answer

A) True 
 B)False

Question 17

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A|F)= __.

Accepted Answer

A) 0.37 
B) 0.70 
C) 0.13 
D) 0.35 
E) 0.80 
A) 0.37 
B) 0.70 
C) 0.13 
D) 0.35 
E) 0.80

Question 18

Given P (A)= 0.40, P (B)= 0.50, P (A $\cap$ B)= 0.15.Which of the following is true?

Accepted Answer

A) A and B are independent. 
B) A and B are mutually exclusive. 
C) A and B are collectively exhaustive. 
D) A and B are not independent. 
E) A and B are complimentary. 
A) A and B are independent. 
B) A and B are mutually exclusive. 
C) A and B are collectively exhaustive. 
D) A and B are not independent. 
E) A and B are complimentary.

Question 19

The intersection of two events, M and N is denoted by ___.

Accepted Answer

A) (MN) 
B) M $\subset$ N 
C) M $\cap$ N 
D) M $\cup$ N 
E) M $\supset$ N 
A) (MN) 
B) M $\subset$ N 
C) M $\cap$ N 
D) M $\cup$ N 
E) M $\supset$ N

Question 20

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(F|A)= ___.

Accepted Answer

A) 0.35 
B) 0.70 
C) 0.13 
D) 0.37 
E) 0.10 
A) 0.35 
B) 0.70 
C) 0.13 
D) 0.37 
E) 0.10

If two events are mutually exclusive, then the two events are also independent.

The mn counting rule may only be used when there are two operations from which to count.

If X and Y are mutually exclusive, then ___.

An event is a process that produces outcomes.

The general law of addition is P(X $\cup$ Y)= P(X)+ P(Y)- P(X $\cap$ Y).

All possible elementary events for an experiment is referred to as collectively exhaustive events.

In a set of 15 aluminum castings, two castings are defective (D), and the remaining thirteen are good (G).A quality control inspector randomly selects three of the fifteen castings without replacement and classifies each as defective (D)or good (G).How large is the sample space?

Five people are selected from a group of 20 to form a committee.How many different committee combinations could be formed?

P(B $\mid$ A)denotes the posterior probability of event B given event A.

Events A and B are said to be independent if either P(A $\mid$ B)= P(B)or if P(B $\mid$ A)= P(A).

If P(X|Y)= P(X)then the events X and Y are independent.

Given the following joint probability table, find the probability that a dog is large and takes less than 30-minute walks?

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

An event that cannot be broken down into other events is called a certainty outcome.

Given P (A)= 0.40, P (B)= 0.50, P (A $\cap$ B)= 0.15.Which of the following is true?

The intersection of two events, M and N is denoted by ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 4: Probability

If two events are mutually exclusive, then the two events are also independent.

The mn counting rule may only be used when there are two operations from which to count.

If X and Y are mutually exclusive, then ___.

An event is a process that produces outcomes.

The general law of addition is P(X ∪\cup∪ Y)= P(X)+ P(Y)- P(X ∩\cap∩ Y).

All possible elementary events for an experiment is referred to as collectively exhaustive events.

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the joint probability table below that was developed from the dealer's records for the previous year, P (Female ∩\cap∩ SUV)= _______.

In a set of 15 aluminum castings, two castings are defective (D), and the remaining thirteen are good (G).A quality control inspector randomly selects three of the fifteen castings without replacement and classifies each as defective (D)or good (G).How large is the sample space?

Five people are selected from a group of 20 to form a committee.How many different committee combinations could be formed?

P(B ∣\mid∣ A)denotes the posterior probability of event B given event A.

Events A and B are said to be independent if either P(A ∣\mid∣ B)= P(B)or if P(B ∣\mid∣ A)= P(A).

If P(X|Y)= P(X)then the events X and Y are independent.

Given the following joint probability table, find the probability that a dog is large and takes less than 30-minute walks?

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

An event that cannot be broken down into other events is called a certainty outcome.

Given P (A)= 0.40, P (B)= 0.50, P (A ∩\cap∩ B)= 0.15.Which of the following is true?

The intersection of two events, M and N is denoted by ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

The general law of addition is P(X $\cup$ Y)= P(X)+ P(Y)- P(X $\cap$ Y).

P(B $\mid$ A)denotes the posterior probability of event B given event A.

Events A and B are said to be independent if either P(A $\mid$ B)= P(B)or if P(B $\mid$ A)= P(A).

Given P (A)= 0.40, P (B)= 0.50, P (A $\cap$ B)= 0.15.Which of the following is true?