HW3 - OLEE 131A Homework #3 Fall 2010 Due October 20th K....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: OLEE 131A Homework #3 Fall 2010 Due October 20th K. Yao Read Leon-Garcia (3rd edition), pp. 96-104; 141-146, 1. There are three power plants (denoted by i = 1 , 2 , 3) which can be either working or not working. If plant i is working, we denote it by a i = 1 and if it is not working, we denote it by a i = 0 . Then denote the status of the plants by the eight vectors of the form ( a 1 , a 2 , a 3 ) , where each a i can be either 1 or 0 . The probability of the eight events are given by: P[(0,0,0)]=.07; P[(0,0,1)]=.04; P[(0,1,0)]=.03; P[(0,1,1)]=.18;P[(1,0,0)]=.16; P[(1,0,1)]=.18; P[(1,1,0)]=.21; P[(1,1,1)]=.13. Denote the r.v. X as the total number of plants working. That is define X = a 1 + a 2 + a 3 . a. Draw a sample space S with these eight labeled elementary events. For the defined r.v. X, draw a line from each of the eight events to the real-line (say drawn hori- zontally) with the value on the real-line indicating the mapping of X (( a 1 , a 2 , a 3 )) ....
View Full Document

This note was uploaded on 11/05/2010 for the course ELECTRICAL EE131A taught by Professor Kungyao during the Fall '10 term at UCLA.

Page1 / 2

HW3 - OLEE 131A Homework #3 Fall 2010 Due October 20th K....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online