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(c) Write the formula for the joint conditional probability of distribution of X,U given that Y =- and Z= 3 (d) Show that X, Y, Z, and U are independent.

(c) Write the formula for the joint conditional probability of distribution of X,U given that Y =- and Z= 3 (d) Show that X, Y, Z, and U are independent.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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part C D

8. Let f be function given by f(x, y, z,u) =(x+2y+3z+4u), 0<x,y, z,u<1. (a) Verify that f is a joint probability density function. (b) Write the formula for the probability function of Y,Z. (c) Write the formula for the joint conditional probability of distribution of X,U given 1 and Z =- 3 that Y =- (d) Show that X, Y, Z, and U are independent.
Transcribed Image Text:8. Let f be function given by f(x, y, z,u) =(x+2y+3z+4u), 0<x,y, z,u<1. (a) Verify that f is a joint probability density function. (b) Write the formula for the probability function of Y,Z. (c) Write the formula for the joint conditional probability of distribution of X,U given 1 and Z =- 3 that Y =- (d) Show that X, Y, Z, and U are independent.
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