Chapter 9.2, Problem 16E

BuyFind*arrow_forward*

10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

1 views

**Making a Probability Density Function** In Exercises 13–18, find the constant *k* such that the function *f* is a probability density function over the given interval.

To determine

**To calculate:** The value of constant ‘*k*’ for which the function,

Explanation

**Given Information:**

The function

**Formula used:**

Consider a function *f* of a continuous random variables *x* whose set of values is the interval

**Calculation:**

Consider the function,

As the function is a probability density function over the interval

Therefore,

Also

Further simplify,

Sect-9.1 P-1CPSect-9.1 P-2CPSect-9.1 P-3CPSect-9.1 P-4CPSect-9.1 P-5CPSect-9.1 P-6CPSect-9.1 P-1SWUSect-9.1 P-2SWUSect-9.1 P-3SWUSect-9.1 P-4SWU

Sect-9.1 P-5SWUSect-9.1 P-6SWUSect-9.1 P-7SWUSect-9.1 P-8SWUSect-9.1 P-9SWUSect-9.1 P-10SWUSect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10ESect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.2 P-1CPSect-9.2 P-2CPSect-9.2 P-3CPSect-9.2 P-4CPSect-9.2 P-5CPSect-9.2 P-1SWUSect-9.2 P-2SWUSect-9.2 P-3SWUSect-9.2 P-4SWUSect-9.2 P-5SWUSect-9.2 P-6SWUSect-9.2 P-7SWUSect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.3 P-1CPSect-9.3 P-2CPSect-9.3 P-3CPSect-9.3 P-4CPSect-9.3 P-5CPSect-9.3 P-6CPSect-9.3 P-7CPSect-9.3 P-1SWUSect-9.3 P-2SWUSect-9.3 P-3SWUSect-9.3 P-4SWUSect-9.3 P-5SWUSect-9.3 P-6SWUSect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.3 P-50ESect-9.3 P-54ESect-9.3 P-55ESect-9.3 P-56ESect-9.3 P-57ECh-9 P-1RECh-9 P-2RECh-9 P-3RECh-9 P-4RECh-9 P-5RECh-9 P-6RECh-9 P-7RECh-9 P-8RECh-9 P-9RECh-9 P-10RECh-9 P-11RECh-9 P-12RECh-9 P-13RECh-9 P-14RECh-9 P-15RECh-9 P-16RECh-9 P-17RECh-9 P-18RECh-9 P-19RECh-9 P-20RECh-9 P-21RECh-9 P-22RECh-9 P-23RECh-9 P-24RECh-9 P-25RECh-9 P-26RECh-9 P-27RECh-9 P-28RECh-9 P-29RECh-9 P-30RECh-9 P-31RECh-9 P-32RECh-9 P-33RECh-9 P-34RECh-9 P-35RECh-9 P-36RECh-9 P-37RECh-9 P-38RECh-9 P-39RECh-9 P-40RECh-9 P-41RECh-9 P-42RECh-9 P-43RECh-9 P-44RECh-9 P-45RECh-9 P-46RECh-9 P-47RECh-9 P-48RECh-9 P-49RECh-9 P-50RECh-9 P-51RECh-9 P-52RECh-9 P-53RECh-9 P-54RECh-9 P-55RECh-9 P-56RECh-9 P-57RECh-9 P-58RECh-9 P-59RECh-9 P-60RECh-9 P-61RECh-9 P-62RECh-9 P-1TYSCh-9 P-2TYSCh-9 P-3TYSCh-9 P-4TYSCh-9 P-5TYSCh-9 P-6TYSCh-9 P-7TYSCh-9 P-8TYSCh-9 P-9TYSCh-9 P-10TYSCh-9 P-11TYSCh-9 P-12TYSCh-9 P-13TYSCh-9 P-14TYSCh-9 P-15TYSCh-9 P-16TYS

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Finite Mathematics and Applied Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendentals

Calculus: Early Transcendental Functions

Applied Calculus

Essentials Of Statistics

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

Calculus (MindTap Course List)

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

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Single Variable Calculus

Finite Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Intermediate Algebra

Probability and Statistics for Engineering and the Sciences

Mathematical Excursions (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Contemporary Mathematics for Business & Consumers

Trigonometry (MindTap Course List)

Calculus of a Single Variable

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

Multivariable Calculus

Study Guide for Stewart's Multivariable Calculus, 8th

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

Calculus (MindTap Course List)

Mathematics For Machine Technology

College Algebra (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Introduction To Statistics And Data Analysis

Research Methods for the Behavioral Sciences (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

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

Mathematics: A Practical Odyssey