In communication theory, waveforms of the formA(t) = x(t) cos(t) y(t) sin(t)appear quite frequently. At a fixed time instant, t = t1, X = X(t1), and Y =Y (t1) are known to be independent Gaussian random variables, specifically,N(0, 2). Show that the distribution function of the envelope Z = X2 + Y 2is given byFZ (z) = 1 ez2/22, z> 0,0, otherwise.This distribution is called the Rayleigh distribution. Compute and plot its pdf

STAT-5615: Statistics in Research I Lecture 7 One-Sample Hypothesis Tests for a Single Mean) Ott & Longnecker 5.4 Dr. Christian Lucero Virginia Tech Fall 2016 Hypothesis Tests for a Single Mean Science is ▯lled with questions/conjectures, and hypotheses about many types of observed phenomena. Examples Is a new...