homework5

homework5 - COMER ECE 600 Homework 5 1. The hat check staff...

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

View Full Document Right Arrow Icon
C OMER ECE 600 Homework 5 1. The hat check staff has had a long day, and at the end of a party they decide to return people’s hats at random. Suppose that n people have their hat returned at random. a. What is the expected number of people who get the correct hat back? b. In the limit as n ± , what is the answer to part (a). Do you expect anyone to get his/her hat back? 2. There are n bags numbered 1,…, n and an infinite supply of balls. You pick up a ball and it is equally likely that you put it in any of the n bags. a. What is the expected number of balls you need to put in the n bags before the i th bag has at least one ball? b. Show that the expected number of balls that you need to put in before every bag has at least one ball is n H( n ), where 1 1 1 H( ) 1 2 1 n n n = + + + + - 3. Let the joint cumulative distribution function (cdf) of random variables X and Y be F XY ( x,y ). Show that
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.

Page1 / 2

homework5 - COMER ECE 600 Homework 5 1. The hat check staff...

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