BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

Finding Expected Value, Variance, and Standard Deviation In Exercises 1-12, use the given probability density function over the indicated interval to find the (a) expected value,

(b) variance using the alternative formula, and

(c) standard deviation of the random variable.

(d) Then sketch the graph of the probability density function and locate the mean on the graph. See Examples 1, 2, and 5.

f ( x ) = 1 1 2 x ,   [ 0 , 2 ]

(a)

To determine

To calculate: The expected value for the probability density function, f(x)=112x on the interval [0,2].

Explanation

Given Information:

The provided probability density function is f(x)=112x on the interval [0,2].

Formula used:

The expected value for the continuous random variable, x with density function f(x) within the interval [a,b] is computed as:

μ=E(x)=abxf(x)dx

Calculation:

Consider the provided probability density function, f(x)=112x on the interval [0,2].

So, a=0 and b=2.

Substitute the values a=0, b=2 and f(x)=112x in the formula μ=abxf(x)dx

(b)

To determine

To calculate: The variance for the probability density function, f(x)=112x on the interval [0,2].

(c)

To determine

To calculate: The standard deviation for the probability density function, f(x)=112x on the interval [0,2].

(d)

To determine

To graph: The probability density function, f(x)=112x on the interval [0,2] and mark the mean value.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 516, evaluate the given quantity. log1616

Finite Mathematics and Applied Calculus (MindTap Course List)

55-58 Find f. f(t)=2t3sint,f(0)=5

Calculus (MindTap Course List)

a. What is a demand function? A supply function? b. What is market equilibrium? Describe how you would go about...

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

Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?

Statistics for The Behavioral Sciences (MindTap Course List)

Factor each expression in Problems 7-18 as a product of binomials. 18.

Mathematical Applications for the Management, Life, and Social Sciences

In exercises 23-26, find the exact areas of shaded region.

Elementary Geometry For College Students, 7e

True or False: dmdv stands for the derivative of the function m with respect to the variable v.

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

Solve each equation. log618-log6x-3=log63

College Algebra (MindTap Course List)