BuyFind*arrow_forward*

10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 1TYS

Textbook Problem

1 views

Four students answer a true-false question on an exam. The random variable *x* is the number of answers of *true* among the four students.

(a) Write the sample space for the possible outcomes.

(b) Find the frequency distribution for the random variable *x*.

(c) Find the probability distribution for the random variable *x*.

**(a)**

To determine

The sample space *S* for the possible outcomes of four students who answers a true-false question in the exam.

Consider the situation that four students answer a true-false question in the exam.

The possible outcomes are the combinations of four students answers. So, the sample space for the possible outcomes are

**(b)**

To determine

**To calculate:** The frequency distribution of the random variable *x* which is defined as the number of “true” answers among four students who answers a true-false question on an exam.

**(c)**

To determine

**To calculate:** The probability distribution of the random variable *x* which is defined as the number of “true” answers among four students who answers a true-false question on an exam.

Calculus: An Applied Approach (MindTap Course List)

Show all chapter solutions

Ch. 9.1 - Checkpoint 1 Worked-out solution available at...Ch. 9.1 - Two coins are tossed. A random variable assigns...Ch. 9.1 - Checkpoint 3 Worked-out solution available at...Ch. 9.1 - Checkpoint 4 Worked-out solution available at...Ch. 9.1 - Over a period of one year, a salesperson worked...Ch. 9.1 - Find the variance and standard deviation of the...Ch. 9.1 - In Exercises 1 and 2, solve for x. 19+23+29=xCh. 9.1 - In Exercises 1 and 2, solve for x....Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 3-6, evaluate the expression....

Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 7-10, write the fraction as a...Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Random Selection In a class of 72 students, 44 are...Ch. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Using Probability Distributions In Exercises...Ch. 9.1 - Using Probability Distributions In Exercises 1518,...Ch. 9.1 - Using Probability Distributions In Exercises...Ch. 9.1 - Using Probability Distributions In Exercises...Ch. 9.1 - Health The table shows the probability...Ch. 9.1 - Children The table shows the probability...Ch. 9.1 - Biology Consider a couple who have four children....Ch. 9.1 - Die Roll Consider the experiment of rolling a...Ch. 9.1 - Finding Expected Value, Variance, and Standard...Ch. 9.1 - Finding Expected Value, Variance, and Standard...Ch. 9.1 - Finding Expected Value, Variance, and Standard...Ch. 9.1 - Finding Expected Value, Variance, and Standard...Ch. 9.1 - Finding Mean, Variance, and Standard Deviation In...Ch. 9.1 - Finding Mean, Variance, and Standard Deviation In...Ch. 9.1 - Revenue A publishing company introduces a new...Ch. 9.1 - Personal Income The probability distribution of...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - Baseball A baseball fan examined the record of a...Ch. 9.1 - Games of Chance If x is a players net gain in a...Ch. 9.1 - Games of Chance If x is a players net gain in a...Ch. 9.1 - Market Analysis A sporting goods company has...Ch. 9.1 - Market Analysis Repeat Exercise 37 for the case in...Ch. 9.2 - Show that f(x)=12x is a probability density...Ch. 9.2 - Show that f(x)=2e2x is a probability density...Ch. 9.2 - Find the probability that x lies in the interval...Ch. 9.2 - A probability density function is defined over the...Ch. 9.2 - For the function in Example 5. find the...Ch. 9.2 - In Exercises 1-4, determine whether the function...Ch. 9.2 - In Exercises 1-4, determine whether the function...Ch. 9.2 - In Exercises 1-4, determine whether the function...Ch. 9.2 - In Exercises 1-4, determine whether the function...Ch. 9.2 - In Exercises 5-7, evaluate the definite or...Ch. 9.2 - In Exercises 5-7, evaluate the definite or...Ch. 9.2 - In Exercises 5-7, evaluate the definite or...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Verifying a Probability Density Function In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Identifying Probability Density Functions In...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability A probability density...Ch. 9.2 - Finding a Probability A probability density...Ch. 9.2 - Waiting Time Buses arrive and depart from a...Ch. 9.2 - Demand The daily demand for gasoline x (in...Ch. 9.2 - Learning Theory The time t (in hours) required for...Ch. 9.2 - HOW DO YOU SEE IT? The graph shows two models for...Ch. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Meteorology A meteorologist predicts that the...Ch. 9.2 - Demand The weekly demand x (in tons) for a certain...Ch. 9.2 - Demand Using the probability density function in...Ch. 9.3 - Find the expected value of the probability density...Ch. 9.3 - Find the variance and standard deviation of the...Ch. 9.3 - Use a symbolic integration utility to find the...Ch. 9.3 - Find the mean and median of the probability...Ch. 9.3 - Find the expected value and standard deviation of...Ch. 9.3 - Find the probability that a person selected at...Ch. 9.3 - Checkpoint 7 Worked-out solution available at...Ch. 9.3 - In Exercises 1 and 2, use integration by parts to...Ch. 9.3 - In Exercises 1 and 2, use integration by parts to...Ch. 9.3 - In Exercises 3 and 4, evaluate the definite...Ch. 9.3 - In Exercises 3 and 4, evaluate the definite...Ch. 9.3 - In Exercises 5 and 6, find each probability using...Ch. 9.3 - In Exercises 5 and 6, find each probability using...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Using Two Methods In Exercises 13-16, find the...Ch. 9.3 - Using Two Methods In Exercises 13-16, find the...Ch. 9.3 - Using Two Methods In Exercises 13-16, find the...Ch. 9.3 - Using two Methods In Exercises 1316, find the...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Finding the Mean and Median In Exercises 23-28,...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Special Probability Density Functions In Exercises...Ch. 9.3 - Finding Probabilities In Exercises 35 and 36, let...Ch. 9.3 - Finding Probabilities In Exercises 35 and 36, let...Ch. 9.3 - Consumer Trends The number of coupons x used by a...Ch. 9.3 - Cost The daily cost x (in dollars) of electricity...Ch. 9.3 - Useful Life The useful lifetime of a product is...Ch. 9.3 - Useful Life The useful lifetime of a product is...Ch. 9.3 - Transportation The arrival time t (in minutes) of...Ch. 9.3 - Transportation Repeat Exercise 41 for a bus that...Ch. 9.3 - Useful Life The time t (in years) until failure of...Ch. 9.3 - Useful Life The time t (in years) until failure of...Ch. 9.3 - Waiting Time The waiting time t (in minutes) for...Ch. 9.3 - License Renewal The waiting time t (in minutes) at...Ch. 9.3 - Demand The daily demand x for a certain product...Ch. 9.3 - Demand Repeat Exercise 47 for the probability...Ch. 9.3 - Demand The daily demand x for water (in millions...Ch. 9.3 - HOW DO YOU SEE IT? In chemistry, the probability...Ch. 9.3 - Wages The employees of a large corporation are...Ch. 9.3 - Medical Science A medical research team has...Ch. 9.3 - Education For high school graduates from 2012...Ch. 9.3 - Fuel Mileage Assume the fuel mileages of all 2015...Ch. 9 - Finding Sample Spaces and Events In Exercises 14,...Ch. 9 - Finding Sample Spaces and Events In Exercises 14,...Ch. 9 - Finding Sample Spaces and Events In Exercises 14,...Ch. 9 - Finding Sample Spaces and Events In Exercises 14,...Ch. 9 - Frequency Distributions In Exercises 5 and 6,...Ch. 9 - Frequency Distributions In Exercises 5 and 6,...Ch. 9 - Bar Code Use the frequency distribution in...Ch. 9 - Kittens Use the frequency distribution in Exercise...Ch. 9 - Identifying Probability Distributions In Exercises...Ch. 9 - Identifying Probability Distributions In Exercises...Ch. 9 - Using Probability Distributions In Exercises 11...Ch. 9 - Using Probability Distributions In Exercises 11...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Revenue A publishing company introduces a new...Ch. 9 - Raffle A service organization is selling $5 raffle...Ch. 9 - Consumer Trends The probability distribution of...Ch. 9 - Vital Statistics The probability distribution of...Ch. 9 - Verifying a Probability Density Function In...Ch. 9 - Verifying a Probability Density Function In...Ch. 9 - Verifying a Probability Density Function In...Ch. 9 - Verifying a Probability Density Function In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Identifying Probability Density Functions In...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Finding a Probability In Exercises 31-36, sketch...Ch. 9 - Waiting Time The waiting time t (in minutes) for...Ch. 9 - Medicine The time t (in days) until recovery after...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding Expected Value, Variance, and Standard...Ch. 9 - Finding the Mean and Median In Exercises 4548,...Ch. 9 - Finding the Mean and Median In Exercises 4548,...Ch. 9 - Finding the Mean and Median In Exercises 4548,...Ch. 9 - Finding the Mean and Median In Exercises 4548,...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Special Probability Density Functions In Exercises...Ch. 9 - Transportation The arrival time t (in minutes) of...Ch. 9 - Transportation Repeat Exercise 55 for a train that...Ch. 9 - Waiting Time The waiting time t (in minutes) for...Ch. 9 - Useful Life The time t (in hours) until failure of...Ch. 9 - Demand The daily demand x for a certain product...Ch. 9 - Demand Repeat Exercise 59 for the probability...Ch. 9 - Education In 2013, the scores on the Medical...Ch. 9 - Botany In a botany experiment, plants are grown in...Ch. 9 - Four students answer a true-false question on an...Ch. 9 - A card is chosen at random from a standard 52-card...Ch. 9 - In Exercises 3 and 4, sketch a graph of the...Ch. 9 - In Exercises 3 and 4, sketch a graph of the...Ch. 9 - In Exercises 5 and 6, find the expected value,...Ch. 9 - In Exercises 5 and 6, find the expected value,...Ch. 9 - In Exercises 79, use a graphing utility to graph...Ch. 9 - In Exercises 79, use a graphing utility to graph...Ch. 9 - In Exercises 79, use a graphing utility to graph...Ch. 9 - In Exercises 1012, use the given probability...Ch. 9 - In Exercises 1012, use the given probability...Ch. 9 - In Exercises 1012, use the given probability...Ch. 9 - In Exercises 1315, use the given probability...Ch. 9 - In Exercises 1315, use the given probability...Ch. 9 - In Exercises 1315, use the given probability...Ch. 9 - An intelligence quotient or IQ is a number that is...

Find more solutions based on key concepts

Show solutions Find the general indefinite integral. (x2+1+1x2+1)dx

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Finding a Limit In Exercises 11-28, find the limit. limx0cos(+x)+1x

Calculus: Early Transcendental Functions

Describe in words the surface whose equation is given. 5. r = 2

Multivariable Calculus

For what values of x does the series n=1(Inx)n converge?

Calculus: Early Transcendentals

PROVE: Inequalities Use the properties of inequalities to prove the following inequalities. 129. Rule 6 for Ine...

Precalculus: Mathematics for Calculus (Standalone Book)

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Applied Calculus

You are the automotive specialist for the monthly magazine Consumer Beware. Part of your job is to investigate ...

Essentials Of Statistics

A research study comparing alcohol use for college students in the United States and Canada reports that more C...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Find the point of intersection of the two straight lines having the equations y =34x + 6 and 3x 2y + 3 = 0.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Use Exercise 52 to find x4exdx.

Calculus (MindTap Course List)

The signum (or sign) function, denoted by sgn, is defined by sgnx={1ifx00ifx=01ifx0 (a) Sketch the graph of thi...

Single Variable Calculus

Purchases OHaganBooks.com has been promoting a number of books published by Duffin House. The following table s...

Finite Mathematics

Oishi and Schimmk (2010) report that people who move from home to home frequently as children tend to have lowe...

Statistics for The Behavioral Sciences (MindTap Course List)

Health Care: Staff Another survey was done at Center Hospital to determine how long (in months) clerical staff ...

Understanding Basic Statistics

The relative conductivity of a semiconductor device is determined by the amount of impurity doped into the devi...

Probability and Statistics for Engineering and the Sciences

67. Population The popullation of India (in billions) for 2000-2050 can be approximated by the equation
...

Mathematical Applications for the Management, Life, and Social Sciences

For Problems 51-66, use an algebraic approach to solve each problem. Objective 2 Find three consecutive odd int...

Intermediate Algebra

Verify a Conjecture Use deductive reasoning to show that the following procedure always produces a number that ...

Mathematical Excursions (MindTap Course List)

Find the area enclosed by the curve r2 = 9 cos 5.

Single Variable Calculus: Early Transcendentals

In Exercise 21 and 22, state a conclusion for the argument. Statements 1 and 2 are true. 1) If the areas of two...

Elementary Geometry For College Students, 7e

Hi-Tech Hardware has been in business for a few years and is doing well. The owner has decided to save for a fu...

Contemporary Mathematics for Business & Consumers

Follow the rules for working with measurements beginning with Exercise 6. The perimeter of a regular pentagonal...

Elementary Technical Mathematics

Each of the following graphs shows at least one complete cycle of the graph of an equation containing a trigono...

Trigonometry (MindTap Course List)

For f(x), g(x), and Zn[ x ] given in Exercises 1-6, find q(x) and r(x) in Zn[ x ] that satisfy the conditions i...

Elements Of Modern Algebra

Finding a Function Give an example of a function that is integrable on the interval [-1, 1] but not continuous ...

Calculus of a Single Variable

Finding a Derivative In Exercises 57-82, find the derivative of the function. g(x)=lnx

Calculus: Early Transcendental Functions (MindTap Course List)

In a particular type of regular polygon, the length of the apothem is exactly one-half the length of a side. Wh...

Elementary Geometry for College Students

If n(A)=15, n(AB)=5 and n(AB)=30, then what is n(B)?

Finite Mathematics for the Managerial, Life, and Social Sciences

CONCEPT CHECK Normal Vector The equation of a plane in space is 2(x1)+4(y3)(z+5)=0. What is the normal vector t...

Multivariable Calculus

Using Different Methods In Exercises 7-12, find dw/dt (a) by using the appropriate Chain Rule and (b) by conver...

Calculus (MindTap Course List)

The harmonic series is:
1 + 2 + 3 + 4 + …

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Using a binomial series, the Maclaurin series for is:

Study Guide for Stewart's Multivariable Calculus, 8th

The average price for a gallon of gasoline in the United States is 3.73 and in Russia itis 3.40 (Bloomberg Busi...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

A recent survey at a major corporation found that employees who regularly participated in the company fitness p...

Research Methods for the Behavioral Sciences (MindTap Course List)

Exercises 15-21 involve the information in Figure 9.115 on page 58 on having a wedding reception or anniversary...

Mathematics: A Practical Odyssey

The Troubled Asset Relief Program (TARP), passed by the U.S. Congress in October 2008,provided 700 billion in a...

Statistics for Business & Economics, Revised (MindTap Course List)

Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find ...

Mathematics For Machine Technology

Applications. Explain how to multiply rational expressions.

College Algebra (MindTap Course List)

Why is it necessary to have a stable pattern within a phase?

Research Methods for the Behavioral Sciences (MindTap Course List)

Give two sets of five numbers that have the same mean but different standard deviations, and give two sets of f...

Introduction To Statistics And Data Analysis