HW03 - STAT 36-217, HW 3, due Thursday 09/17/2009, 10:30 AM...

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: STAT 36-217, HW 3, due Thursday 09/17/2009, 10:30 AM 1. Suppose that we have n coins such that if the i th coin is flipped, heads will appear with probability i/n , i = 1 , 2 ,...,n . When one of the coins is randomly selected and flipped, it shows heads. Find an expression (involving n and k ) for the probability that it was the k th coin (where 1 k n ) (you may need the fact that 1+2+ ... + n = n ( n +1) / 2). 2. ( Three prisoners. ) Three prisoners, Antonio, Beppe and Carlo are on death row. The governor decides to pardon one of them, randomly chosen. He informs the warden of his choice but instructs him to keep the name of the pardoned prisoner secret. The next day, Antonio, who, incidentally, never took 36-217, tries to get the warden to tell him who had been pardoned. The warden refuses. Antonio then asks which of Beppe or Carlo will be executed. The warden thinks for a while and tries to remember what he had learned in 36-217, then tells Antonio that Beppe is to be executed.he had learned in 36-217, then tells Antonio that Beppe is to be executed....
View Full Document

This note was uploaded on 09/30/2010 for the course STATISTICS 36-217 taught by Professor Jin during the Fall '09 term at Carnegie Mellon.

Page1 / 2

HW03 - STAT 36-217, HW 3, due Thursday 09/17/2009, 10:30 AM...

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