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: Page 1 of 3 COMP211 Data and System Modeling (PROB/STAT) Tutorial (Week 8) Answer 1) In the past year there were 30 days on which accidents occurred along a certain stretch of highway. Assume that the probability that an accident occurs on any one day is 30/365 and that each day is independent of the others. What is the probability that there will be no accidents during the first 2 weeks of January? What is the probability that the first accident occurs on 3 rd day? Solution: Label the result “accident on j th day” as “success at j th trial.” Thus each day corresponds to one Bernoulli trial. The waiting time until an accident is therefore geometrically distributed with p = 30/365; thus P(no accident during first 2 weeks of January) = P ( W > 14) = g1 − G¡ G¢£ ¤ ¥¦ = 0.3010 P(the first accident occurs on 3 rd day) = P( W = 3 ) = g1 − G¡ G¢£ ¤ § ( G¡ G¢£ ) = 0.0692 2) Let Y be the number of successes in n independent repetitions of a random experiment having the...
View
Full
Document
This note was uploaded on 04/08/2012 for the course COMP 211 taught by Professor Dr.kwok during the Spring '12 term at Hong Kong Polytechnic University.
 Spring '12
 Dr.Kwok

Click to edit the document details