NARRBEGIN: Pets Cars Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. \(\begin{array}{|l|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline \text { Probability } & 0.56 & 0.23 & 0.12 & 0.09\\\hline \end{array}\) NARREND -{Cars Narrative} Suppose you choose two families at random. What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

A) 0.23 B) 0.23 + 0.23 = 0.46 C) 0.23 + 0.23 - (0.23)*(0.23) = .4071 D) (0.23)*(0.23) = 0.0529 A) 0.23 B) 0.23 + 0.23 = 0.46 C) 0.23 + 0.23 - (0.23)*(0.23) = .4071 D) (0.23)*(0.23) = 0.0529

Exam 6: Probability

NARRBEGIN: Marital Status Marital Status An insurance company has collected the following data on the gender and marital status of 600 customers. Marital Status Gender Single Maried Divorced Male 50 250 30 Female 100 100 40 Suppose that a customer is selected at random.NARREND -{Marital Status Narrative} Find the probability that the customer selected is a.female and single b.married if the customer is male. c.not single

(Short Answer)

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Question 61

Posterior probabilities can be calculated using the addition rule for mutually exclusive events.

(True/False)

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Question 62

Which of the following statements is correct if the events A and B have nonzero probabilities?

(Multiple Choice)

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Question 63

NARRBEGIN: Messenger Service Messenger Service Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. Define event O as a service delivers a package on time.NARREND -{Messenger Service Narrative} If a package was delivered 40 minutes late, what is the probability that it was service C?

(Essay)

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Question 64

When A and B are mutually exclusive, P(A or B) can be found by adding P(A) and P(B).

(True/False)

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Question 65

NARRBEGIN: Financial Consultants Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table: Portfolio Composition Gender Bonds Stecks Balanced Male 0.18 0.20 0.25 Female 0.12 0.10 0.15 One client is selected at random, and two events A and B are defined as follows: A: The client selected is male.B: The client selected has a balanced portfolio.NARREND -{Financial Consultants Narrative} Find P(A and B).

(Short Answer)

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Question 66

If two events are mutually exclusive, their joint probability is ____________________.

(Short Answer)

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Question 67

If two events are collectively exhaustive, what is the probability that both occur at the same time?

(Multiple Choice)

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Question 68

A sample space of an experiment consists of the following outcomes: 1, 2, 3, 4, and 5. Which of the following is a simple event?

(Multiple Choice)

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Question 69

If A and B are disjoint events with P(A) = 0.70, then P(B):

(Multiple Choice)

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Question 70

If two events are mutually exclusive, what is the probability that both occur at the same time?

(Multiple Choice)

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Question 71

Two events A and B are said to be independent if P(A) = P(A|B).

(True/False)

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Question 72

The outcomes of a sample space must be and .

(Essay)

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Question 73

NARRBEGIN: College Professorship College Professorship A Ph.D. graduate has applied for a job with two colleges: A and B. The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B. If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A. Let A = receiving an offer from college A, and let B = receiving an offer from college B.NARREND -{College Professorship Narrative} If she receives an offer from college B, what is the probability that she will not receive an offer from college A?

(Short Answer)

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Question 74

Two or more events are said to be independent when the occurrence of one event has no effect on the probability that another will occur.

(True/False)

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Question 75

NARRBEGIN: Pets Cars Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. X 0 1 2 3 Probability 0.56 0.23 0.12 0.09 NARREND -{Cars Narrative} Suppose you choose two families at random. What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

(Multiple Choice)

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Question 76

If A and B are ____________________ then the probability of the union of A and B is the sum of their individual probabilities.

(Short Answer)

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Question 77

Alana, Eva, and Stephanie, three candidates for the presidency of a college's student body, are to address a student forum. The forum's organizer is to select the order in which the candidates will give their speeches, and must do so in such a way that each possible order is equally likely to be selected. a.What is the random experiment? b.List the outcomes in the sample space. c.Assign probabilities to the outcomes. d.What is the probability that Stephanie will speak first? e.What is the probability that Alana will speak before Stephanie does?

(Essay)

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Question 78

NARRBEGIN: Condo Sales and Interest Condo Sales and Interest Rates The probability that condo sales will increase in the next 6 months is estimated to be 0.30. The probability that the interest rates on condo loans will go up in the same period is estimated to be 0.75. The probability that condo sales or interest rates will go up during the next 6 months is estimated to be 0.90.NARREND -{Condo Sales and Interest Rates Narrative} What is the probability that both condo sales and interest rates will increase during the next six months?

(Short Answer)

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Question 79

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 237

Posterior probabilities can be calculated using the addition rule for mutually exclusive events.

Which of the following statements is correct if the events A and B have nonzero probabilities?

When A and B are mutually exclusive, P(A or B) can be found by adding P(A) and P(B).

If two events are mutually exclusive, their joint probability is ____________________.

If two events are collectively exhaustive, what is the probability that both occur at the same time?

A sample space of an experiment consists of the following outcomes: 1, 2, 3, 4, and 5. Which of the following is a simple event?

If A and B are disjoint events with P(A) = 0.70, then P(B):

If two events are mutually exclusive, what is the probability that both occur at the same time?

Two events A and B are said to be independent if P(A) = P(A|B).

The outcomes of a sample space must be and .

Two or more events are said to be independent when the occurrence of one event has no effect on the probability that another will occur.

If A and B are ____________________ then the probability of the union of A and B is the sum of their individual probabilities.

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 6: Probability

Posterior probabilities can be calculated using the addition rule for mutually exclusive events.

Which of the following statements is correct if the events A and B have nonzero probabilities?

When A and B are mutually exclusive, P(A or B) can be found by adding P(A) and P(B).

If two events are mutually exclusive, their joint probability is ____________________.

If two events are collectively exhaustive, what is the probability that both occur at the same time?

A sample space of an experiment consists of the following outcomes: 1, 2, 3, 4, and 5. Which of the following is a simple event?

If A and B are disjoint events with P(A) = 0.70, then P(B):

If two events are mutually exclusive, what is the probability that both occur at the same time?

Two events A and B are said to be independent if P(A) = P(A|B).

The outcomes of a sample space must be ____________________ and ____________________.

Two or more events are said to be independent when the occurrence of one event has no effect on the probability that another will occur.

If A and B are ____________________ then the probability of the union of A and B is the sum of their individual probabilities.

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

The outcomes of a sample space must be and .