Determine the value of c that makes the function f(x, y) = c(x + y) a joint probability densityfunction over the range 0 < x < 3 and 0 < y< 3а. с — 24b. None1с.c =271c =24d.

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Answered: Determine the value of c that makes the…

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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Q1. Random variables X and Y have joint Probability Density Function (PDF) fxx(x, y) = {2 - 1< x < y < 1 otherwises Find rx,y and E[e*+Y].
5. Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and 0 < y < x. Answer is C = 2/27 a. From the answer in Question 5, Determine the marginal probability distribution of X. b. From the answer in Question 5, Determine the conditional probability distribution of X given that Y = 2. c. From the answer in Question 5, Determine E(Y | X = 1). (up to 6 decimal place)
Determine the conditional probability distribution of Y given that X = 1. Where the joint 1 probability density function is given by f (x, y) = (x + y) for 0 < x < 3 and 0 < y < 3. %3D 27 Oa. 2(1+y) for 0 < y < 3 15 O b. 1+y for 0 < y < 3 6. О с. 1 (1+y) 27 for 0 < y < 3 O d. None
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Q5. (10 marks) Suppose that the joint probability density function for X and Y is given by + 2y), 0 < x< 2,0 < y <1 f(x,y) = 4 0, Find the expected value, E(XY). %3D elsewhere
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Need sol of b part only. Within 20 minutes.

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Determine the value of c that makes the function f (x,y) = c(x + y) a joint probability density %3D function over the range 0 < x < 3 and 0 < y < 3 O a.c = 24 O b. None Ос. 1 27 Od. 1 C = - 24