Exam 4: Introduction to Probability

A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test. a.Find the probability of scoring above 400. b.Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.

(Short Answer)

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Question 61

Three applications for admission to a local university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is

(Multiple Choice)

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Question 62

An applicant has applied for positions at Company A and Company B. The probability of getting an offer from Company A is 0.4, and the probability of getting an offer from Company B is 0.3. Assuming that the two job offers are independent of each other, what is the probability that a.the applicant gets an offer from both companies? b.the applicant will get at least one offer? c.the applicant will not be given an offer from either company? d.Company A does not offer the applicant a job, but Company B does?

(Short Answer)

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Question 63

As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.25. a.If you get a promotion, what is the probability that you will also get a raise? b.What is the probability of getting a raise? c.Are getting a raise and being promoted independent events? Explain using probabilities. d.Are these two events mutually exclusive? Explain using probabilities.

(Essay)

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Question 64

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cup$ B) =

(Multiple Choice)

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Question 65

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

(Multiple Choice)

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Question 66

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B) is

(Multiple Choice)

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Question 67

Two events with nonzero probabilities

(Multiple Choice)

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Question 68

Assume that in your hand you hold an ordinary six-sided die and a dime. You toss both the die and the dime on a table. a.What is the probability that a head appears on the dime and a six on the die? b.What is the probability that a tail appears on the dime and any number more than 3 on the die? c.What is the probability that a number larger than 2 appears on the die?

(Short Answer)

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Question 69

The probability of the union of two events with nonzero probabilities

(Multiple Choice)

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Question 70

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

(Multiple Choice)

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Question 71

One of the basic requirements of probability is

(Multiple Choice)

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Question 72

Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 25% of the passengers are on business while on ordinary jets 30% of the passengers are on business. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. (Hint: you have been given two conditional probabilities.) a. What is the probability a randomly chosen business customer flying with Global is on a jumbo jet? b. What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

(Short Answer)

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Question 73

A market study taken at a local sporting goods store showed that of 20 people questioned, 6 owned tents, 10 owned sleeping bags, 8 owned camping stoves, 4 owned both tents and camping stoves, and 4 owned both sleeping bags and camping stoves. Let Event A = owns a tent, Event B = owns a sleeping bag, Event C = owns a camping stove, and Sample Space = 20 people questioned. a. Find P(A), P(B), P(C), P(AC), P(BC). b. Are the events A and C mutually exclusive? Explain briefly. c. Are the events B and C independent events? Explain briefly. d. If a person questioned owns a tent, what is the probability he also owns a camping stove? e. If two people questioned own a tent, a sleeping bag, and a camping stove, how many own only a camping stove? f. Is it possible for 3 people to own both a tent and a sleeping bag, but not a camping stove?

(Essay)

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Question 74

Assume two events A and B are mutually exclusive and, furthermore, P(A) = 0.2 and P(B) = 0.4. a.Find P(A $\cap$ B). b.Find P(A $\cup$ B). c.Find P(A|B).

(Short Answer)

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Question 75

An element of the sample space is

(Multiple Choice)

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Question 76

The set of all possible sample points (experimental outcomes) is called

(Multiple Choice)

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Question 77

If two events are mutually exclusive, then the probability of their intersection

(Multiple Choice)

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Question 78

If A and B are independent events with P(A) = .1 and P(B) = .4, then

(Multiple Choice)

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Question 79

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

(Short Answer)

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Question 80

Showing 61 - 80 of 129

Three applications for admission to a local university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cup$ B) =

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B) is

Two events with nonzero probabilities

The probability of the union of two events with nonzero probabilities

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

One of the basic requirements of probability is

Assume two events A and B are mutually exclusive and, furthermore, P(A) = 0.2 and P(B) = 0.4. a.Find P(A $\cap$ B). b.Find P(A $\cup$ B). c.Find P(A|B).

An element of the sample space is

The set of all possible sample points (experimental outcomes) is called

If two events are mutually exclusive, then the probability of their intersection

If A and B are independent events with P(A) = .1 and P(B) = .4, then

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

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

Tests of Goodness of Fit, Independence and Multiple Proportions

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

Decision Analysis

Sample Survey

Filters

Exam 4: Introduction to Probability

Three applications for admission to a local university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪\cup∪ B) =

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

If P(A) = 0.5 and P(B) = 0.5, then P(A ∩\cap∩ B) is

Two events with nonzero probabilities

The probability of the union of two events with nonzero probabilities

The probability of the occurrence of event A in an experiment is 1/3. If the experiment is performed 2 times and event A did not occur, then on the third trial event A

One of the basic requirements of probability is

Assume two events A and B are mutually exclusive and, furthermore, P(A) = 0.2 and P(B) = 0.4. a.Find P(A ∩\cap∩ B). b.Find P(A ∪\cup∪ B). c.Find P(A|B).

An element of the sample space is

The set of all possible sample points (experimental outcomes) is called

If two events are mutually exclusive, then the probability of their intersection

If A and B are independent events with P(A) = .1 and P(B) = .4, then

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

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

Tests of Goodness of Fit, Independence and Multiple Proportions

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

Decision Analysis

Sample Survey

Filters

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cup$ B) =

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B) is

Assume two events A and B are mutually exclusive and, furthermore, P(A) = 0.2 and P(B) = 0.4. a.Find P(A $\cap$ B). b.Find P(A $\cup$ B). c.Find P(A|B).