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Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniform distribution over the region 0

Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniform distribution over the region 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(e) For 0 < x < 1 marginal probability distribution of X is Ох-1 16, -for 0 < x < 1;for 1 < x < 4; 0elsewhere 45 7.5 O 2 for 0 < x < 1;-for 1 < x < 4; 0elsewhere 15 13 45 O x+1 -for 0 < x < 1;¬nfor 1 < x < 4;Oelsewhere 12 O x+1 for 0 < x < 1;- 7.5 4 -for 1 < x < 4;0 elsewhere 15 11 4 -for 0 < x < 1;for 1 < x < 4; 0elsewhere 15 45
Transcribed Image Text:(e) For 0 < x < 1 marginal probability distribution of X is Ох-1 16, -for 0 < x < 1;for 1 < x < 4; 0elsewhere 45 7.5 O 2 for 0 < x < 1;-for 1 < x < 4; 0elsewhere 15 13 45 O x+1 -for 0 < x < 1;¬nfor 1 < x < 4;Oelsewhere 12 O x+1 for 0 < x < 1;- 7.5 4 -for 1 < x < 4;0 elsewhere 15 11 4 -for 0 < x < 1;for 1 < x < 4; 0elsewhere 15 45
Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniform distribution over the region 0 < x < 4,0 < y, and x – 1 < y < x + 1. That is, fry (x, y) = c for x and y in the region. Determine the value for c such thatfy (x, y) is a joint probability density function. Round your answers to three decimal places (e.g. 98.765). Determine the following: C = i 0.133 (a) P(X < 0.6, Y < 0.7) = i (b) P(X < 0.6) = i (c) E(X) = i (d) E(Y) = i
Transcribed Image Text:Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability distribution of the two measurements is a uniform distribution over the region 0 < x < 4,0 < y, and x – 1 < y < x + 1. That is, fry (x, y) = c for x and y in the region. Determine the value for c such thatfy (x, y) is a joint probability density function. Round your answers to three decimal places (e.g. 98.765). Determine the following: C = i 0.133 (a) P(X < 0.6, Y < 0.7) = i (b) P(X < 0.6) = i (c) E(X) = i (d) E(Y) = i
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