HW2sol - Homework 2 solution(Fall 2008 2.3.1 2 i In both...

Info iconThis preview shows pages 1–3. 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: Homework 2 solution (Fall 2008) 2.3.1 2. i. In both cities: ii. In neither of the cities: iii. In exactly one of the cities: 5. i. P ( A ∪ B ) = 0 . 6 ii. P ( A ∩ B ) = P ( A ) + P ( B )- P ( A ∪ B ) = 0 . 4 + 0 . 3- . 6 = 0 . 1 iii. P ( A- B ) = p ( A )- p ( A ∩ B ) = 0 . 4- . 1 = 0 . 3 1 2.4.5 1. P ( A ) = P (Machine A produce a batch with no defectives) = 0 . 95 P ( B ) = P (Machine A produce a batch with no defectives) = 0 . 92 P ( A ∩ B ) = P (Both machine A and machine B produce a batch with no defectives) = 0 . 88 i. P ( A ∪ B ) = P ( A ) + P ( B )- P ( A ∩ B ) = 0 . 95 + 0 . 92- . 88 = 0 . 99 ii. P ( A ∪ B )- P ( A ∩ B ) = 0 . 99- . 88 = 0 . 11 5. i. P = 6 36 = 1 6 . ii. P = 15 36 = 5 12 . 7. i. 1 3 since originally the player chooses 1 out of 3. ii. 2 3 . Let A be the event that we select big prize for the first trial. Let B be the event that we select big prize when we change the original selection. P ( B ) = P ( B | A ) · P ( A ) + P ( B | A c ) · P ( A c...
View Full Document

This note was uploaded on 04/16/2009 for the course STAT 401 taught by Professor Akritas during the Spring '00 term at Penn State.

Page1 / 3

HW2sol - Homework 2 solution(Fall 2008 2.3.1 2 i In both...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online