Exam 4: Introduction to Probability

Two of the cylinders in an eight-cylinder car are defective and need to be replaced. If two cylinders are selected at random, what is the probability that a.both defective cylinders are selected? b.no defective cylinder is selected? c.at least one defective cylinder is selected?

(Short Answer)

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Question 61

Two events with nonzero probabilities

(Multiple Choice)

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Question 62

In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B

(Multiple Choice)

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Question 63

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 64

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

(Multiple Choice)

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Question 65

A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

(Short Answer)

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Question 66

If P(A) = 0.4, P(B | A) = 0.35, P(A $\cup$ B) = 0.69, then P(B) =

(Multiple Choice)

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Question 67

The probability of an economic decline in the year 2008 is 0.23. There is a probability of 0.64 that we will elect a republican president in the year 2008. If we elect a republican president, there is a 0.35 probability of an economic decline. Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president. a.Are "R" and "D" independent events? b.What is the probability of a Republican president and economic decline in the year 2008? c.If we experience an economic decline in the year 2008, what is the probability that there will a Republican president? d.What is the probability of economic decline or a Republican president in the year 2008? Hint: You want to find P(D $\cup$ R).

(Essay)

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Question 68

If P(A) = 0.68, P(A $\cup$ B) = 0.91, and P(A $\cap$ B) = 0.35, then P(B) =

(Multiple Choice)

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Question 69

A bank has the following data on the gender and marital status of 200 customers. a. What is the probability of finding a single female customer? b. What is the probability of finding a married male customer? c. If a customer is female, what is the probability that she is single? d. What percentage of customers is male? e. If a customer is male, what is the probability that he is married? f. Are gender and marital status mutually exclusive? g. Is marital status independent of gender? Explain using probabilities.

(Essay)

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Question 70

Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work. In the past, 25% of students (with similar credentials as yours) who applied to University A were accepted, while University B accepted 35% of the applicants. Assume events are independent of each other. a.What is the probability that you will be accepted in both universities? b.What is the probability that you will be accepted to at least one graduate program? c.What is the probability that one and only one of the universities will accept you? d.What is the probability that neither university will accept you?

(Short Answer)

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Question 71

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 72

Assume you are taking two courses this semester (A and B). The probability that you will pass course A is 0.835, the probability that you will pass both courses is 0.276. The probability that you will pass at least one of the courses is 0.981. a.What is the probability that you will pass course B? b.Is the passing of the two courses independent events? Use probability information to justify your answer. c.Are the events of passing the courses mutually exclusive? Explain.

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Question 73

The intersection of two mutually exclusive events

(Multiple Choice)

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Question 74

The sample space refers to

(Multiple Choice)

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Question 75

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 76

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

(Multiple Choice)

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Question 77

Any process that generates well-defined outcomes is

(Multiple Choice)

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Question 78

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

(Multiple Choice)

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Question 79

The range of probability is

(Multiple Choice)

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Question 80

Showing 61 - 80 of 146

Two of the cylinders in an eight-cylinder car are defective and need to be replaced. If two cylinders are selected at random, what is the probability that a.both defective cylinders are selected? b.no defective cylinder is selected? c.at least one defective cylinder is selected?

Two events with nonzero probabilities

In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

If P(A) = 0.4, P(B | A) = 0.35, P(A $\cup$ B) = 0.69, then P(B) =

If P(A) = 0.68, P(A $\cup$ B) = 0.91, and P(A $\cap$ B) = 0.35, then P(B) =

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

The intersection of two mutually exclusive events

The sample space refers to

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

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Any process that generates well-defined outcomes is

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

The range of probability is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

Two of the cylinders in an eight-cylinder car are defective and need to be replaced. If two cylinders are selected at random, what is the probability that a.both defective cylinders are selected? b.no defective cylinder is selected? c.at least one defective cylinder is selected?

Two events with nonzero probabilities

In an experiment, events A and B are mutually exclusive. If P(A) = 0.6, then the probability of B

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪\cup∪ B) = 0.69, then P(B) =

If P(A) = 0.68, P(A ∪\cup∪ B) = 0.91, and P(A ∩\cap∩ B) = 0.35, then P(B) =

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

The intersection of two mutually exclusive events

The sample space refers to

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

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Any process that generates well-defined outcomes is

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

The range of probability is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

If P(A) = 0.4, P(B | A) = 0.35, P(A $\cup$ B) = 0.69, then P(B) =

If P(A) = 0.68, P(A $\cup$ B) = 0.91, and P(A $\cap$ B) = 0.35, then P(B) =