Hw2_ORIE361_2008

Hw2_ORIE361_2008 - ORIE 361/523 – Homework 2 Instructor:...

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: ORIE 361/523 – Homework 2 Instructor: Mark E. Lewis due February 6, 2008 (drop box) 1. Consider a gene composed of d subunits, where d is some positive integer and each subunit is either normal or mutant in form. Consider a cell with a gene composed of m mutant subunits and (d-m) normal subunits. Before the cell divides into two daughter cells, the gene duplicates. The corresponding gene of one of the daughter cells is composed of d units chosen from the 2m mutant subunits and the 2(d-m) normal subunits. Suppose, we follow a fixed line of descent from a given gene. Let X be the number of mutant subunits initially present and { X n ,n ≥ 1 } , be the number present in the nth descendent gene. Then, { X n ,n ≥ 1 } is a Markov Chain. Give the state space and the transition matrix for this Markov Chain. 2. An individual possesses r umbrellas which he employs in going from his home to office, and vice versa. If he is at home (the office) at the beginning (end) of a day and it is raining, thenvice versa....
View Full Document

This note was uploaded on 03/01/2010 for the course ORIE 361 taught by Professor Lewis,m. during the Spring '07 term at Cornell.

Page1 / 2

Hw2_ORIE361_2008 - ORIE 361/523 – Homework 2 Instructor:...

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