Question 1

Which of the following statements if false?

Accepted Answer

A)  The set of all simple events of an experiment is called the sample space. 
B)  An event that can be decomposed into two is called a simple event. 
C)  The sum of the probabilities for all simple events in the sample space equals 1. 
D)  The probability of an event A is equal to the sum of the probabilities of the simple events contained in A. 
E)  The probability for any event in the sample space is between 0 and 1 inclusive. 
A)  The set of all simple events of an experiment is called the sample space. 
B)  An event that can be decomposed into two is called a simple event. 
C)  The sum of the probabilities for all simple events in the sample space equals 1. 
D)  The probability of an event A is equal to the sum of the probabilities of the simple events contained in A. 
E)  The probability for any event in the sample space is between 0 and 1 inclusive.

Question 2

A manufacturing firm producing odd-sized, decorative windows buys the window frames from either supplier S1 or supplier S2. The firm sells the finished window to either customer C1 or customer C2.
a. Describe the sample space; that is, list all possible supplier-customer combinations, which a given finished window might represent.
__________________________________________
b. If each supplier-customer combination in part (a) is equally likely, what is the probability a randomly chosen finished window is sold to customer C1?
______________

Accepted Answer

a. S = {(C1, S1), (C

Question 3

Heidi prepares for an exam by studying a list of 15 problems. She can solve nine of them. For the exam, the instructor selects seven questions at random from the list of fifteen. What is the probability that Heidi can solve all seven problems on the exam?
______________

Accepted Answer

The answer of Heidi prepares for an exam by studying...

Question 4

Which of the following best describes the concept of marginal probability?

Accepted Answer

A)  It is a measure of the likelihood that a particular event will occur, regardless of whether another event occurs. 
B)  It is a measure of the likelihood that a particular event will occur, given the fact that another event has already occurred or is certain to occur. 
C)  It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D)  It is a direct way for defining the sample space of an experiment. 
E)  It is a measure of the likelihood that a particular event will not occur. 
A)  It is a measure of the likelihood that a particular event will occur, regardless of whether another event occurs. 
B)  It is a measure of the likelihood that a particular event will occur, given the fact that another event has already occurred or is certain to occur. 
C)  It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D)  It is a direct way for defining the sample space of an experiment. 
E)  It is a measure of the likelihood that a particular event will not occur.

Question 5

A salesperson either makes a sale (S) or does not make a sale (N) with each of two potential customers. The simple events and their probabilities are given below.   
a. What is the probability that no sales are made?
______________
b. What is the probability that at least one sale is made?
______________
c. What is the probability that exactly one sale is made?
______________
d. What is the probability that exactly two sales were made?
______________

Accepted Answer

a. 0.65; b

Question 6

In general, the simple events of an experiment take on values between 0 and 1.0, inclusive.

Accepted Answer

A) True 
 B)False

Question 7

Let x denote the weight gain in pounds per month for a calf. The probability distribution of x is shown below.
   
a. Find the average weight gain in pounds per month for a calf.
______________
b. Find the variance of the weight gain.
______________
c. What is
   ?
______________ 
d. What is
   ?
______________ 
e. What is
   ?
______________

Accepted Answer

a. 7; b. 1

Question 8

If P(A) > 0, P(B) > 0, and P(A   B) = 0, then the events A and B are independent.

Accepted Answer

A) True 
 B)False

Question 9

If P(A) = 0.4, P(B) = 0.5, and P(A   B) = 0.20, then the events A and B are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 10

If A and B are two independent events with P(A) = 0.25 and P(B) = 0.45, then P(A   B) = 0.70.

Accepted Answer

A) True 
 B)False

Question 11

A businessman in Chicago is preparing an itinerary for a visit to five major cities. Each city will be visited once and only once. The distance traveled, and hence the cost of the trip, will depend on the order in which he plans his route. How many different itineraries (and trip costs) are possible?
______________

Accepted Answer

The answer of A businessman in Chicago is preparing an...

Question 12

The time required to assemble a computer is an example of a discrete random variable.

Accepted Answer

A) True 
 B)False

Question 13

The graph of a discrete random variable looks like a histogram where the probability of each possible outcome is represented by a bar.

Accepted Answer

A) True 
 B)False

Question 14

The possible number of combinations of 3 out of 8 distinct items equals:

Accepted Answer

A)  28 
B)  56 
C)  112 
D)  224 
E)  24 
A)  28 
B)  56 
C)  112 
D)  224 
E)  24

Question 15

An interior decorator must furnish two offices. Each office must have a desk, a chair, a file cabinet and 2 bookcases. At a local office furniture store there are 6 models of desks, 8 models of chairs, 4 models of file cabinets and 10 models of bookcases, all of which are compatible. (Any desk can be matched with any chair, etc.) How many choices does the decorator have if he wants to select two desks, two chairs, two file cabinets and four bookcases if he doesn't want to select more than one of any model?
______________

Accepted Answer

The answer of An interior decorator must furnish two offices....

Question 16

Studies have shown a particular television commercial is understood by 25% of first grade students and 80% of fourth grade students. If a television advertising agency randomly selects one first grader and one fourth grader, what is the probability neither child would understand the commercial, assuming the children's reactions are independent?
______________

Accepted Answer

The answer of Studies have shown a particular television commercial...

Question 17

Which of the following statements is correct?

Accepted Answer

A)  The experiment of tossing a single coin once contains 1 simple event. 
B)  The experiment of rolling a single die once contains 6 simple events. 
C)  The experiment of spinning the Monte Carlo roulette wheel once contains 27 simple events. 
D)  The experiment of drawing a single card once from a standard deck contains 4 events. 
E)  The experiment of tossing a coin twice contains 2 simple events. 
A)  The experiment of tossing a single coin once contains 1 simple event. 
B)  The experiment of rolling a single die once contains 6 simple events. 
C)  The experiment of spinning the Monte Carlo roulette wheel once contains 27 simple events. 
D)  The experiment of drawing a single card once from a standard deck contains 4 events. 
E)  The experiment of tossing a coin twice contains 2 simple events.

Question 18

Steve takes either a bus or the subway to go to work with probabilities 0.25 and 0.75, respectively. When he takes the bus, he is late 40% of the days. When he takes the subway, he is late 30% of the days. If Steve is late for work on a particular day, what is the probability that he took the bus?
______________

Accepted Answer

The answer of Steve takes either a bus or the...

Question 19

Which of the following correctly describes experiments?

Accepted Answer

A)  They are two random events, A and B, such that the probability of one event is not affected by the occurrence of the other event; therefore, P(
A)  = P(A|
B) . 
B)  They are different events that have no outcomes in common. 
C)  They are activities that result in one and only one of several clearly defined possible outcomes and that do not allow us to tell in advance which of these will prevail in any particular instance. 
D)  All of the above. 
E)  None of these. 
A)  They are two random events, A and B, such that the probability of one event is not affected by the occurrence of the other event; therefore, P(
A)  = P(A|
B) . 
B)  They are different events that have no outcomes in common. 
C)  They are activities that result in one and only one of several clearly defined possible outcomes and that do not allow us to tell in advance which of these will prevail in any particular instance. 
D)  All of the above. 
E)  None of these.

Question 20

If an investor was interested in assessing the probability that a new supermarket will be successful in a New York market area, he would most likely use the relative frequency definition of probability as the method for assessing the probability of success.

Accepted Answer

A) True 
 B)False

Which of the following statements if false?

Heidi prepares for an exam by studying a list of 15 problems. She can solve nine of them. For the exam, the instructor selects seven questions at random from the list of fifteen. What is the probability that Heidi can solve all seven problems on the exam? ______________

Which of the following best describes the concept of marginal probability?

In general, the simple events of an experiment take on values between 0 and 1.0, inclusive.

Let x denote the weight gain in pounds per month for a calf. The probability distribution of x is shown below. a. Find the average weight gain in pounds per month for a calf. b. Find the variance of the weight gain. c. What is ? d. What is ? e. What is ? __

If P(A) > 0, P(B) > 0, and P(A B) = 0, then the events A and B are independent.

If P(A) = 0.4, P(B) = 0.5, and P(A B) = 0.20, then the events A and B are mutually exclusive.

If A and B are two independent events with P(A) = 0.25 and P(B) = 0.45, then P(A B) = 0.70.

The time required to assemble a computer is an example of a discrete random variable.

The graph of a discrete random variable looks like a histogram where the probability of each possible outcome is represented by a bar.

The possible number of combinations of 3 out of 8 distinct items equals:

Which of the following statements is correct?

Which of the following correctly describes experiments?

If an investor was interested in assessing the probability that a new supermarket will be successful in a New York market area, he would most likely use the relative frequency definition of probability as the method for assessing the probability of success.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

Filters

Exam 4: Probability and Probability Distributions

Which of the following statements if false?

Heidi prepares for an exam by studying a list of 15 problems. She can solve nine of them. For the exam, the instructor selects seven questions at random from the list of fifteen. What is the probability that Heidi can solve all seven problems on the exam? ______________

Which of the following best describes the concept of marginal probability?

In general, the simple events of an experiment take on values between 0 and 1.0, inclusive.

If P(A) > 0, P(B) > 0, and P(A B) = 0, then the events A and B are independent.

If P(A) = 0.4, P(B) = 0.5, and P(A B) = 0.20, then the events A and B are mutually exclusive.

If A and B are two independent events with P(A) = 0.25 and P(B) = 0.45, then P(A B) = 0.70.

The time required to assemble a computer is an example of a discrete random variable.

The graph of a discrete random variable looks like a histogram where the probability of each possible outcome is represented by a bar.

The possible number of combinations of 3 out of 8 distinct items equals:

Which of the following statements is correct?

Which of the following correctly describes experiments?

If an investor was interested in assessing the probability that a new supermarket will be successful in a New York market area, he would most likely use the relative frequency definition of probability as the method for assessing the probability of success.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

Nonparametric Statistics

Filters