hw3solution - Econ 3190 Fall 2011 Solution to HW3 1. (a) P...

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: Econ 3190 Fall 2011 Solution to HW3 1. (a) P ( B \ A ) = P ( B j A ) & P ( A ) = 0 : 75 & : 3 = 0 : 225 P ( A \ B \ C ) = P ( C j A \ B ) & P ( A \ B ) = 0 : 2 & : 225 = 0 : 045 (b) P ( B ) = P ( B \ A )+ P ( B \ A ) = P ( B j A ) & P ( A )+ P ( B j A ) & P ( A ) = : 75 & : 3 + 0 : 2 & : 7 = 0 : 365 P ( B ) = 1 P ( B ) = 1 : 365 = 0 : 635 Think B \ C as D; P ( B \ C ) = P ( B \ C \ A )+ P ( B \ C \ A ) = P ( C j B \ A ) & P ( B \ A ) + P ( C j B \ A ) & P ( B \ A ) Now we need to &nd the value of P ( B \ A ) and P ( B \ A ) P ( B \ A ) = P ( B j A ) & P ( A ) = [1 P ( B j A )] & P ( A ) = (1 : 75) & : 3 = : 075 P ( B \ A ) = P ( B ) P ( B \ A ) = 0 : 635 : 075 = 0 : 56 Plug in numeric values P ( B \ C ) = 0 : 8 & : 075 + 0 : 9 & : 56 = 0 : 564 (c) P ( C ) = P ( C \ A \ B )+ P ( C \ A \ B )+ P ( C \ A \ B )+ P ( C \ A \ B ) = P ( C j A \ B ) & P ( A \ B ) + P ( C j A \ B ) & P ( A \ B ) + + P ( C j A \ B ) & P ( A \ B ) + P ( C j A \ B ) & P ( A \ B ) we know ( A \ B ) = 1 P ( A \ B ) P ( A \ B ) P ( A \ B ) = 1 : 225...
View Full Document

This note was uploaded on 11/30/2011 for the course ECON 3190 at Cornell University (Engineering School).

Page1 / 3

hw3solution - Econ 3190 Fall 2011 Solution to HW3 1. (a) P...

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