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An order of 15 printers contains five with a graphics-enhancement feature, six with extra memory, and four with both features. Four printers are selected at random, without replacement, from this set. Let the random variables X, Y. and Z denote the number of printers in the sample with graphic enhancements only, extra memory only, and both, respectively. (a) Describe the range of the joint probability distribution of X, Y, and Z. Minimum value of xyz(x, y, z): 1 Maximum value of Sxyz (x, y, z): 1 (b) is the probability distribution of X, Y, and Z multinomial? (c) Determine the conditional probability distribution of X given that Y=2. Round your answers to 4 decimal places. x Sxx-2 (x) 1 i Determine the following. Round your answers to 4 decimal places. (d) P(X = 1, Y = 2, Z = 1) = (e) P(X = 1, Y = 1) = 1 (f) E(X)= V(X) = (g) P(X = 1, Y = 2 | Z = 1) = (h) P(X = 2| Y = 2) = (i) Conditional probability distribution of X given that Y=0 and Z= 3. x Sxx-0,2-3(x) 1

An order of 15 printers contains five with a graphics-enhancement feature, six with extra memory, and four with both features. Four printers are selected at random, without replacement, from this set. Let the random variables X, Y. and Z denote the number of printers in the sample with graphic enhancements only, extra memory only, and both, respectively. (a) Describe the range of the joint probability distribution of X, Y, and Z. Minimum value of xyz(x, y, z): 1 Maximum value of Sxyz (x, y, z): 1 (b) is the probability distribution of X, Y, and Z multinomial? (c) Determine the conditional probability distribution of X given that Y=2. Round your answers to 4 decimal places. x Sxx-2 (x) 1 i Determine the following. Round your answers to 4 decimal places. (d) P(X = 1, Y = 2, Z = 1) = (e) P(X = 1, Y = 1) = 1 (f) E(X)= V(X) = (g) P(X = 1, Y = 2 | Z = 1) = (h) P(X = 2| Y = 2) = (i) Conditional probability distribution of X given that Y=0 and Z= 3. x Sxx-0,2-3(x) 1

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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An order of 15 printers contains five with a graphics-enhancement feature, six with extra memory, and four with both features. Four printers are selected at random, without replacement, from this set. Let the random variables X, Y. and Z denote the number of printers in the sample with graphic enhancements only, extra memory only, and both, respectively. (a) Describe the range of the joint probability distribution of X, Y, and Z. Minimum value of Sxyz (x, y, z): i Maximum value of Sxyz(x, y, z): i (b) is the probability distribution of X, Y, and Z multinomial? (c) Determine the conditional probability distribution of X given that Y=2. Round your answers to 4 decimal places. x Sxx-2 (x) 1 2 i i Determine the following. Round your answers to 4 decimal places. (d) P(X = 1, Y = 2, Z = 1) = i (e) P(X = 1,Y = 1) = (f) E(X) = V(X) = (g) P(X = 1, Y = 2|Z = 1) = (h) P(X = 2| Y = 2) = i (i) Conditional probability distribution of X given that Y=0 and Z= 3. x SXY-0,Z-3(x) 1 i
Transcribed Image Text:An order of 15 printers contains five with a graphics-enhancement feature, six with extra memory, and four with both features. Four printers are selected at random, without replacement, from this set. Let the random variables X, Y. and Z denote the number of printers in the sample with graphic enhancements only, extra memory only, and both, respectively. (a) Describe the range of the joint probability distribution of X, Y, and Z. Minimum value of Sxyz (x, y, z): i Maximum value of Sxyz(x, y, z): i (b) is the probability distribution of X, Y, and Z multinomial? (c) Determine the conditional probability distribution of X given that Y=2. Round your answers to 4 decimal places. x Sxx-2 (x) 1 2 i i Determine the following. Round your answers to 4 decimal places. (d) P(X = 1, Y = 2, Z = 1) = i (e) P(X = 1,Y = 1) = (f) E(X) = V(X) = (g) P(X = 1, Y = 2|Z = 1) = (h) P(X = 2| Y = 2) = i (i) Conditional probability distribution of X given that Y=0 and Z= 3. x SXY-0,Z-3(x) 1 i
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