midterm2sol

6 cs 70 fall 2013 midterm 2 1 name sid alternate

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: s different. i. What is Pr[C]? Solution: 1 . z can be any value other than zero. 6 CS 70, Fall 2013, Midterm #2 1 Name: SID: Alternate interpretation: 3x−1 . 6 49 . Let x take on any non-zero value (6 possibilities) and y equal ii. What is Pr[A ∩ B]? 1 Solution: 36 . Both x and y are equal to 3 with probability ( 1 )2 . 6 1 Alternate interpretation: 49 . Both x and y are equal to 3 with probability ( 1 )2 . 7 iii. What is Pr[A ∩ C]? 1 Solution: 36 .This means that x = 3 and y = 1, which occurs with probability ( 1 )2 . 6 1 Alternate interpretation: 49 .This means that x = 3 and y = 1, which occurs with probability ( 1 )2 . 7 iv. What is Pr[B ∩ C]? 1 Solution: 36 . This means that y = 3 and x = 1, which occurs with probability ( 1 )2 . 6 1 Alternate interpretation: 49 . This means that y = 3 and x = 1, which occurs with probability ( 1 )2 . 7 v. Are A,B,C pairwise independent? Yes No Are A,B,C pairwise independent? Alternate interpretation: Yes No (g) (5 points) Suppose A and B are disjoint events such that P[A] ￿= 0 and P[B] ￿= 0. i. What is Pr[A ∩ B]? Solution: 0. The events are disjoint so their intersection is empty (it contains no sample points). ii. Can A and B be independent? Yes No Solution...
View Full Document

This document was uploaded on 01/28/2014.

Ask a homework question - tutors are online