Assignment2

Assignment2 - 1 Assignment 2, STAT220-Winter 2011...

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: 1 Assignment 2, STAT220-Winter 2011 Instructor: Kamyar Moshksar Due on Wednesday, Feb. 9th Problem 1- In your course notes, you can find the following identity at the end of section 3 in the Review of Useful Series and Sums subsection: min { a,n } X x =max { ,n- b } a x b n- x = a + b n . ( * ) This identity is proved in your course notes using Binomial Expansion. In this problem, you will prove this identity probabilistically. We have a box that contains a + b bulbs where a bulbs are defective and the rest ( b bulbs) are fine. We pick n bulbs at random. (a) what is the probability that exactly x of the n picked bulbs are defective? (b) Prove the identity in (*) using the result in part (a). Problem 2- We have a coin with the property that P( Head ) = p and P( Tail ) = 1- p . This coin is tossed repeatedly and independently until a Tail appears for the first time. Find the probability that the number of required tosses is even?...
View Full Document

This note was uploaded on 01/26/2012 for the course ECON 401 taught by Professor Burbidge,john during the Fall '08 term at Waterloo.

Page1 / 2

Assignment2 - 1 Assignment 2, STAT220-Winter 2011...

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