fall 2006 STAT 230 Quiz2Solutions

# fall 2006 STAT 230 Quiz2Solutions - STAT 230 Quiz#2 3:40...

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

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.

Unformatted text preview: STAT 230 Quiz #2 Oct 12, 2006 3:40 – 4:10 pm Name: S I.D: UWUserid: Mark /20 Circle your instructor and time slot: 1. Metzler(1:30) 2. Drekic(11:30) 3. Springer(10:30) 4. Drekic(12:30) 5. Ramirez(8:30) 1. I have two coins. Coin A shows heads 50% of the time, Coin B shows heads 80% of the time. One of the coins is chosen at random, and that coin is flipped 5 times (each coin is equally likely to be chosen). [4] (a) What is the probability I get 5 consecutive heads? P (5H) = P (5H | A chosen) P (A chosen) + P (5H | B chosen) P (B chosen) = ( . 5) 5 ( . 5) + ( . 8) 5 ( . 5) = . 179465 [4] (b) Given that I got 5 consecutive heads, what is the probability that Coin B was chosen? P (B chosen | 5H) = P (5H | B chosen) P (B chosen) P (5H) = ( . 8) 5 ( . 5) . 179465 = . 9129 [3] (c) Are the events “Coin B chosen” and “5 consecutive heads” independent? Justify your answer. These events are not independent. There are several acceptable ways to show this P (5H ∩ B chosen) = ( . 5)( . 8)...
View Full Document

## This note was uploaded on 03/03/2010 for the course STAT 230 taught by Professor Various during the Fall '06 term at Waterloo.

### Page1 / 4

fall 2006 STAT 230 Quiz2Solutions - STAT 230 Quiz#2 3:40...

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

View Full Document
Ask a homework question - tutors are online