This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 Fifth Problem Assignment EECS 401 Problem 1 Discrete random variable X is described by the PMF p X ( x ) = K − x 12 , if x = 0, 1, 2 0, for all other values of x Let D 1 , D 2 , . . . , D N represent N successive independent experimental values of ran dom variable X . (1) Determine the numerical value of K . (2) Determine the probability that D 1 > D 2 . (3) Determine the probability that D 1 + D 2 + . . . + D N ♼ 1.0 (4) Define R = max ( D 1 , D 2 ) and S = min ( D 1 , D 2 ) . Determine the following PMF’s for all values of their arguments: (a) p S ( s ) (b) P R  S ( r  ) (c) P R,S ( r, s ) (d) P T ( t ) with T = ( 1 + D 1 ) / ( 1 + S ) (5) Determine the expected value and variance of random variable S defined above. (6) Given D 1 + D 2 ♼ 2.0 , determine the conditional expected value and conditional variance of random variable S defined above. Problem 2 A salesman has scheduled two appointments to sell encyclopedias. His first appointment will lead to a sale with probability 0.3, and his second appointment willappointment will lead to a sale with probability 0....
View
Full
Document
This note was uploaded on 04/04/2012 for the course ECE 139 taught by Professor Staff during the Spring '08 term at UCSB.
 Spring '08
 Staff

Click to edit the document details