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Let the joint probability density function for X and Y be f(x, y) = 0

Let the joint probability density function for X and Y be f(x, y) = 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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Let the jaint probability density function for X and Y be f(z,v) = {6 V 0<z<y<1 otherwise Find the value of c that would make this a valid joint probability distribution. C = number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Find the marginal probability density function of X, fx(z). O (a) fx(x) = 9r² - 9z7/2, 0< z <1 ㅇ (b) fx(#) %3D 2 -꼭포기2, 0<z<1 O (c) fx(1) = 9z² – 9z72, 0 <z < y O (d) fx(=) = 9z², 0<I<y O (e) fx(2) = 9x², 0<I<1 ㅇ () fx(2) 3D꽃고2-9z3/2, 0<z<y Find the marginal probability density function of Y, fr(y). o (a) fr(y) %3D 을y기2, z<y<1 O (b) fy(y) = 9 – 9y/2, I<y<1 ㅇ (0) fr(v)%3DyV2, 0<y<1 ㅇ (d) fr(v) %3D 을y기2, 0<y<1 O (e) fr(3) = 91 – 9y7/2, 0 <y <1 o () fr(u)=D 을l/2, r<y<1 %3D
Transcribed Image Text:Let the jaint probability density function for X and Y be f(z,v) = {6 V 0<z<y<1 otherwise Find the value of c that would make this a valid joint probability distribution. C = number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Find the marginal probability density function of X, fx(z). O (a) fx(x) = 9r² - 9z7/2, 0< z <1 ㅇ (b) fx(#) %3D 2 -꼭포기2, 0<z<1 O (c) fx(1) = 9z² – 9z72, 0 <z < y O (d) fx(=) = 9z², 0<I<y O (e) fx(2) = 9x², 0<I<1 ㅇ () fx(2) 3D꽃고2-9z3/2, 0<z<y Find the marginal probability density function of Y, fr(y). o (a) fr(y) %3D 을y기2, z<y<1 O (b) fy(y) = 9 – 9y/2, I<y<1 ㅇ (0) fr(v)%3DyV2, 0<y<1 ㅇ (d) fr(v) %3D 을y기2, 0<y<1 O (e) fr(3) = 91 – 9y7/2, 0 <y <1 o () fr(u)=D 을l/2, r<y<1 %3D
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