Homework04Solutions

Homework04Solutions - CHEN 3010 Applied Data Analysis Fall...

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

View Full Document Right Arrow Icon
CHEN 3010 Applied Data Analysis Fall 2004 Homework 04 Solutions Problem 1 3-96. a) Let X denote the number of tremors in a 12 month period. Then, X is a Poisson random variable with λ = 6. = = = ! 10 6 ) 10 ( 10 6 e W P 0.0413 b) λ =2(6) = 12 for a two year period. Let Y denote the number of tremors in a two year period. = = = ! 18 12 ) 18 ( 18 12 e Y P 0.0255 c) λ = (1/12)6 = 0.5 for a one month period. Let W denote the number of tremors in a one-month period. = = = ! 0 5 . 0 ) 0 ( 0 5 . 0 e W P 0.6065 d) λ = (1/2)6 = 3 for a six month period. Let V denote the number of tremors in a six- month period. PV eeeeee () !! . . >= −≤ = +++++ = = −−−−−− 51 5 1 3 0 3 1 3 2 3 3 3 4 3 5 10 9161 0 0839 30 31 32 33 34 35 Problem 2 3-112. a) PX e d x e ee xx . . .. . 12 15 0 2 0 0409 02 12 15 12 15 24 3 << = = = = −− b) P(X > 5) = == × x 5 1 03679 . . . By independence of the intervals in a Poisson process, the answer is 0.3679 2 = 0.1353. Alternatively, the answer can also be found as P(X > 10) = e -2 = 0.1353. The probability does depend on whether or not the lengths of highway are consecutive.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

Page1 / 2

Homework04Solutions - CHEN 3010 Applied Data Analysis Fall...

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