6. Consider a uniform rv U~ Unif[0, 1].(a) Find the conditional distribution of U(U > a) for 0 < a < 1.(b) Find the conditional distribution of U(U < a) for 0 < a < 1.(c) If V~ Unif[0, 1] is independent of U, find the conditional density of V (U + V).

Given that the uniform random variable, .

Answered: 6. Consider a uniform rv U~ Unif[0, 1].…

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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6. Consider a uniform rv U~ Unif[0, 1]. (a) Find the conditional distribution of U(U> a) for 0 < a < 1. (b) Find the conditional distribution of U(U< a) for 0 < a < 1. (c) If V Unif[0, 1] is independent of U, find the conditional density of V|(U+V).