Exam 4: Introduction to Probability

A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items. a.An item from the production line is selected. What is the probability that the selected item is non-defective? b.Given that the selected item is non-defective, what is the probability that the machine is set up correctly?

(Short Answer)

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Question 101

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

(Short Answer)

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Question 102

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace?

(Multiple Choice)

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Question 103

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

(Multiple Choice)

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Question 104

Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is

(Multiple Choice)

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Question 105

Records of a company show that 15% of the employees have only a high school diploma; 75% have bachelor degrees; and 10% have graduate degrees. Of those with only a high school diploma, 12% hold management positions; whereas, of those having bachelor degrees, 58% hold management positions. Finally, 82% of the employees who have graduate degrees hold management positions. a.What percentage of employees holds management positions? b.Given that a person holds a management position, what is the probability that she/he has a graduate degree?

(Short Answer)

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Question 106

A graphical device used for enumerating sample points in a multiple-step experiment is a

(Multiple Choice)

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Question 107

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

(Short Answer)

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Question 108

The symbol $\cup$ shows the

(Multiple Choice)

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Question 109

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

(Multiple Choice)

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Question 110

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A $\cup$ B) =

(Multiple Choice)

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Question 111

From a group of seven finalists to a contest, three individuals are to be selected for the first and second and third places. Determine the number of possible selections.

(Short Answer)

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Question 112

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A $\cap$ B) =

(Multiple Choice)

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Question 113

The intersection of two mutually exclusive events

(Multiple Choice)

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Question 114

Assume you have applied for two jobs A and B. The probability that you get an offer for job A is 0.23. The probability of being offered job B is 0.19. The probability of getting at least one of the jobs is 0.38. a.What is the probability that you will be offered both jobs? b.Are events A and B mutually exclusive? Why or why not? Explain.

(Essay)

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Question 115

An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is

(Multiple Choice)

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Question 116

In a recent survey of computer ownership, 73.4% of the respondents indicated they own PC computers, while 21.8% indicated they own both PC and Mac computers, and 80.1% said they own at least one of the two computers. a.What is the probability that a respondent owns a Mac computer? b.Given that a respondent owns a PC, what is the probability that the respondent also owns a Mac? c.Are events "P" and "M" mutually exclusive? Why or why not? Explain using probabilities. d.Are the two events "P" and "M" independent? Explain, using probabilities.

(Essay)

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Question 117

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the

(Multiple Choice)

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Question 118

Any process that generates well-defined outcomes is

(Multiple Choice)

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Question 119

If P(A) = 0.50, P(B) = 0.60, and P(A $\cap$ B) = 0.30, then events A and B are

(Multiple Choice)

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Question 120

Showing 101 - 120 of 138

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace?

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

Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is

A graphical device used for enumerating sample points in a multiple-step experiment is a

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

The symbol $\cup$ shows the

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A $\cup$ B) =

From a group of seven finalists to a contest, three individuals are to be selected for the first and second and third places. Determine the number of possible selections.

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A $\cap$ B) =

The intersection of two mutually exclusive events

An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the

Any process that generates well-defined outcomes is

If P(A) = 0.50, P(B) = 0.60, and P(A $\cap$ B) = 0.30, then events A and B are

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, Test 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

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 4: Introduction to Probability

A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace?

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

Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is

A graphical device used for enumerating sample points in a multiple-step experiment is a

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

The symbol ∪\cup∪ shows the

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪\cup∪ B) =

From a group of seven finalists to a contest, three individuals are to be selected for the first and second and third places. Determine the number of possible selections.

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A ∩\cap∩ B) =

The intersection of two mutually exclusive events

An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the

Any process that generates well-defined outcomes is

If P(A) = 0.50, P(B) = 0.60, and P(A ∩\cap∩ B) = 0.30, then events A and B are

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, Test 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

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

The symbol $\cup$ shows the

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A $\cup$ B) =

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A $\cap$ B) =

If P(A) = 0.50, P(B) = 0.60, and P(A $\cap$ B) = 0.30, then events A and B are