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Problem 1. Consider the following dataset: item | X Y 1 -1 4 -1 4. 3 1 2.5 4 -1 3.5 -1 6. 3 6. 1 4 7 1. 8 4 8 1 8 3.5 9 7 2.5 10 1 8 3.5 (a) Estimate the pmf of X,Y and Z respectively. (b) Sketch the histograms of px(r), pY (y) and pz(2). (c) Complete the following tables: PX.y(r, y) Py\x (y\x) || x = –1 |x = 0 | x = 1 1/4 -1 a = 0| æ = 1 4. y = 4 y = 5 y = 6 y= 5 1/5 y = 6 y = 7 1/10 y = 7 y = 8 1/10 (d) Determine whether the following statements are correct. (i) X and Z are independent to each other. (ii) py,z(y, z) = py (y) · pz(2)

Problem 1. Consider the following dataset: item | X Y 1 -1 4 -1 4. 3 1 2.5 4 -1 3.5 -1 6. 3 6. 1 4 7 1. 8 4 8 1 8 3.5 9 7 2.5 10 1 8 3.5 (a) Estimate the pmf of X,Y and Z respectively. (b) Sketch the histograms of px(r), pY (y) and pz(2). (c) Complete the following tables: PX.y(r, y) Py\x (y\x) || x = –1 |x = 0 | x = 1 1/4 -1 a = 0| æ = 1 4. y = 4 y = 5 y = 6 y= 5 1/5 y = 6 y = 7 1/10 y = 7 y = 8 1/10 (d) Determine whether the following statements are correct. (i) X and Z are independent to each other. (ii) py,z(y, z) = py (y) · pz(2)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Problem 1. Consider the following dataset: item X Y -1 7 4 2 -1 8 4 3 1 2.5 4 -1 3.5 -1 6. 3 6 1 4. 1. 4 1 3.5 9 7 2.5 10 1 8. 3.5 (a) Estimate the pmf of X,Y and Z respectively. (b) Sketch the histograms of px(x), pY (y) and pz(z). (c) Complete the following tables: PY|x (y|x) || x = -1 | x = 0 1/4 px,y (x, y) || r = -1 I = 0 | x = 1 y = 4 y = 4 y = 5 y = 5 1/5 y = 6 y = 6 y = 7 1/10 y = 7 y = 8 1/10 y = 8 (d) Determine whether the following statements are correct. (i) X and Z are independent to each other. (ii) py z(y, 2) = pY (y) · pz(2)
Transcribed Image Text:Problem 1. Consider the following dataset: item X Y -1 7 4 2 -1 8 4 3 1 2.5 4 -1 3.5 -1 6. 3 6 1 4. 1. 4 1 3.5 9 7 2.5 10 1 8. 3.5 (a) Estimate the pmf of X,Y and Z respectively. (b) Sketch the histograms of px(x), pY (y) and pz(z). (c) Complete the following tables: PY|x (y|x) || x = -1 | x = 0 1/4 px,y (x, y) || r = -1 I = 0 | x = 1 y = 4 y = 4 y = 5 y = 5 1/5 y = 6 y = 6 y = 7 1/10 y = 7 y = 8 1/10 y = 8 (d) Determine whether the following statements are correct. (i) X and Z are independent to each other. (ii) py z(y, 2) = pY (y) · pz(2)
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