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Let f (x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere,

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 14E Chapter 3.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 14E

Let f (x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X.

(a) Sketch the graph of this pdf.

(b) Define the cdf of X and sketch its graph.

(c) Find q1 = π0.25.

(d) Find m = π0.50. Is it unique?

(e) Find q3 = π0.75.

Step-by-Step Solution:

Answer:

Step 1 of 6:

          Let the pdf of ‘x’ is

 

                   

 Step 2 of 6:  

    a). We need to sketch the graph of this pdf.

           

        Then, the graph of the pdf is

                       

     

                               

 

Step 3 of 6:  

  b). To define the cdf of X and to sketch the graph.

           

               The cdf of X is

 

             F(x) =

 

                F(x) =

   

            Splitting the limits

                 

                           

               The graph of cdf is

                                             

Step 4 of 6

Chapter 3.1, Problem 14E is Solved
Step 5 of 6

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The answer to “Let f (x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X.(a) Sketch the graph of this pdf.(b) Define the cdf of X and sketch its graph.(c) Find q1 = ?0.25.(d) Find m = ?0.50. Is it unique?(e) Find q3 = ?0.75.” is broken down into a number of easy to follow steps, and 53 words. Since the solution to 14E from 3.1 chapter was answered, more than 315 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 14E from chapter: 3.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: Find, pdf, graph, its, elsewhere. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9.

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