Exam 6: Probability

Certification Test A standard certification test was given at three locations.1,000 candidates took the test at location A, 600 candidates at location B, and 400 candidates at location C.The percentages of candidates from locations A, B, and C who passed the test were 70%, 68%, and 77%, respectively.One candidate is selected at random from among those who took the test. -{Certification Test Narrative} What is the probability that the selected candidate took the test at location C and failed?

(Short Answer)

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Question 141

Suppose P(A) = 0.30, P(B) = 0.50, and P(B|A) = 0.60. a. Find P(A and B). b. Find P(A or B). c. Find P(A|B).

(Short Answer)

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Question 142

If the two events are mutually exclusive and collectively exhaustive, what is the probability that one or the other occurs?

(Multiple Choice)

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Question 143

Initial estimates of the probabilities of events are known as:

(Multiple Choice)

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Question 144

Prior probability of an event is the probability of the event before any information affecting it is given.

(True/False)

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Question 145

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 146

Construction Bids A construction company has submitted bids on two separate state contracts, A and B.The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B.Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B. -{Construction Bids Narrative} What is the probability that the company will win at most one of the two contracts?

(Short Answer)

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Question 147

GPA and Class A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random. -{GPA and Class Narrative} What is the probability that the student is in the lower class and has GPA over 3.0?

(Short Answer)

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Question 148

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. -{Messenger Service Narrative} Calculate P(A and O).

(Essay)

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Question 149

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. -{Messenger Service Narrative} If a package was delivered 40 minutes late, what is the probability that it was service B?

(Essay)

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Question 150

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 151

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. -{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 152

An individual outcome of a sample space is called a(n) ____________________ event.

(Short Answer)

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Question 153

If two events are complements, their probabilities sum to ____________________.

(Short Answer)

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Question 154

If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

(Multiple Choice)

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Question 155

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. -{Messenger Service Narrative} If a package was delivered on time, what is the probability that it was service A?

(Essay)

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Question 156

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

(Short Answer)

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Question 157

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

(True/False)

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Question 158

If A and B are independent events with P(A) = 0.60 and P(A|B) = 0.60, then P(B) is:

(Multiple Choice)

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Question 159

The relative frequency approach to probability uses long term relative frequencies, often based on past data.

(True/False)

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Question 160

Showing 141 - 160 of 234

Suppose P(A) = 0.30, P(B) = 0.50, and P(B|A) = 0.60. a. Find P(A and B). b. Find P(A or B). c. Find P(A|B).

If the two events are mutually exclusive and collectively exhaustive, what is the probability that one or the other occurs?

Initial estimates of the probabilities of events are known as:

Prior probability of an event is the probability of the event before any information affecting it is given.

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

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

An individual outcome of a sample space is called a(n) ____________________ event.

If two events are complements, their probabilities sum to ____________________.

If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

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

If A and B are independent events with P(A) = 0.60 and P(A|B) = 0.60, then P(B) is:

The relative frequency approach to probability uses long term relative frequencies, often based on past data.

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

Simple Linear Regression and Correlation

Multiple Regression

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