(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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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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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