# 230hw1 - MATH 230 HOMEWORK 1(Due Tuesday[Please submit your...

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

October 12, 2009 MATH 230 HOMEWORK # 1 (Due: October 20, 2009, Tuesday) [Please, submit your homework to my office (SA 105) by 5:30 PM] (DO NOT forget to write your Section number) 1. There are 2 boxes, each has r balls numbered from 1 through r . A random sample of n balls is drawn ( r n ) without replacement from each box. Find the probability that the samples contain exactly k having the same numbers in common. 2. Let A 1, A 2 and B 1 , B 2 events such that 5 . 0 ) ( ) ( 1 1 = = B P A P and 6 . 0 ) ( 1 2 = A A P , 4 . 0 ) ( 1 2 = A B P , 4 . 0 ) ( 1 2 = B A P , 6 . 0 ) ( 1 2 = B B P . Show that 5 . 0 ) ( ) ( 2 2 = = B P A P 3. Consider the experiment of rolling two dice. Define the events A, B, C so that A= {First die results in a 1, 2, or 3} B= {second die results in a 4, 5, or 6} C= {The sum of two faces is 7} Show that A, B and C are pairwise independent but not (mutually) independent. 4. In a customer satisfaction survey, 5 3 of those surveyed had a Japanese-made car, 10 3 European-made car, and

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

230hw1 - MATH 230 HOMEWORK 1(Due Tuesday[Please submit your...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online