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

Chapter 3, Problem 14E

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QUESTION:

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.

Questions & Answers

QUESTION:

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.

ANSWER:

Answer:

Step 1 of 6:

          Let the pdf of ‘x’ is

 

                   

 

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