Find the density and verify that it integrates to one


Suppose X and Y are independent random variables with X following a uniform distribution on (0,1) and Y exponentially distributed with parameter Lambda = 1.

a) Find the density for Z = X + Y. Verify that it integrates to 1. Find the median (the value of z for which P(Z =< z) = 1/2)

b) find E(X - Y) and var(X - Y). Find E(ZX)

Request for Solution File

Ask an Expert for Answer!!
Basic Statistics: Find the density and verify that it integrates to one
Reference No:- TGS0122466

Expected delivery within 24 Hours