We are given two independent Poisson arrival streams {Xt | 0 t < } and{Yt | 0 t < } with respective arrival rates x, and y. Show that the numberof arrivals of the Yt process occurring between two successive arrivals of Xtprocess has a modified geometric distribution with parameter x/(x + y).

Week 4 lecture content, 2.5 and 2.6 I. 2.5 A. Univariate summary and Bivariate summary i. Univariate summary uses graphical or numerical summaries for one variable data sets. ii. Bivariate is the same thing as univariate summary but for two variables. B. Relationship between two variables i. Use a bivariate frequency table or a contingency table they mean the same thing. Teams Low GPA Medium GPA High GPA total Red 20 5 1 26 Blue 30