   # Identifying Probability Distributions In Exercises 9 and 10, determine whether the table represents a probability distribution. If it is a probability distribution, sketch its graph. If it is not a probability distribution, state any properties that are not satisfied. x 0 1 2 3 4 5 P ( x ) 1 25 3 25 5 25 7 25 8 25 1 25 ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
Chapter 9, Problem 10RE
Textbook Problem
1 views

## Identifying Probability Distributions In Exercises 9 and 10, determine whether the table represents a probability distribution. If it is a probability distribution, sketch its graph. If it is not a probability distribution, state any properties that are not satisfied. x 0 1 2 3 4 5 P(x) 1 25 3 25 5 25 7 25 8 25 1 25

To determine

Whether the table of values represents a probability distribution. If it is a probability distribution, graph the distribution and if it is not a probability distribution, state the properties not satisfied to be a probability distribution.

 x 0 1 2 3 4 5 P(x) 125 325 525 725 825 125

### Explanation of Solution

Given Information:

The table of values and probabilities:

 x 0 1 2 3 4 5 P(x) 125 325 525 725 825 125

Consider the provided table.

 x 0 1 2 3 4 5 P(x) 125 325 525 725 825 125

The two properties that must be satisfied for a distribution to be a probability distribution are:

1. All the probabilities must be a number between 2. 3.0 and 14. 5.

0P(x)1

6. Sum of all probabilities must be equal to 7. 18. 9.

In the provided table of values, all the probabilities lies between 0 and 1. So, the first property is satisfied.

To check whether the second property is satisfied, sum up all the probabilities and it must be equal to 1.

Sum of all probabilities=125+325+525+725+825+125=1+3+5+7+8+125=2525=1

As the sum of all probabilities is equal to 1, the second property is also satisfied

### 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

Find more solutions based on key concepts
Convert the expressions in Exercises 6584 to power form. 1(x2+1)334(x2+1)3

Finite Mathematics and Applied Calculus (MindTap Course List)

If f is continuous on [0, 1], prove that 01f(x)dx=01f(1x)dx

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 62. 2x1x+24

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

Prove that limx15(x+1)3=.

Single Variable Calculus

Find the derivative of the function. g(x) = (x2 + 1)3(x2 + 2)6

Single Variable Calculus: Early Transcendentals

Perform the indicated operation for the following. 1,205491

Contemporary Mathematics for Business & Consumers

Fill in each blank: 126ft=m

Elementary Technical Mathematics

If , then h′(x) = 8t3 + 2t 24x2 + 2 8x3 + 2x – 3 8x3 + 2x

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

Define a statistic and a parameter and explain the role that each plays in inferential statistics.

Research Methods for the Behavioral Sciences (MindTap Course List) 