Electrical and Computer Engineering
a) Suppose Xt is a random process which is second-order stationary. Show that it is also stationary of order 1.
b) Show that if X and Y are independent then they are also uncorrelated.
c) If events A and B are disjoint then they are also independent. True or False?
d) If X and Y are jointly Gaussian then Z = root(x^2 + y^2) is also Gaussian. True or False?
f) If Pxy = 1 then y = ax + b for some a > 0. True or False?