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 Sixth Problem Assignment EECS 401 Problem 1 An ambulance travels back and forth, at a constant speed, along a road of length L . At a certain moment of time an accident occurs at a point uniformly dis tributed on the road. (That is, its distance from one of the fixed ends of the road is uniformly distributed over ( 0, L ) .) Assuming that the ambulances location at the mo ment of the accident is also uniformly distributed, compute, assuming independence, the distribution of its distance from the accident. Problem 2 Let X 1 , X 2 and X 3 be three independent, continuous random variables with the same distribution. Given that X 2 is smaller than X 3 , what is the conditional probability that X 1 is smaller than X 2 ? Problem 3 Random variables X and Y are described by the joint PDF f X,Y ( x, y ) = 1, if 0 x 1, 0 y 1 0, otherwise and random variable Z is defined by Z = XY ....
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