20082ee131A_1_HW4_new

20082ee131A_1_HW4_new - EE 131A Homework #4 Spring 2008 Due...

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: EE 131A Homework #4 Spring 2008 Due Apr. 28th K. Yao Read Leon-Garcia (3rd edition), pp. 96-104; 141-153 1. Let A and B be two mutually exclusive events. Show they are independent if and only if one or the other or both events have probability 0. (Hint: To proof C if and only if D, means that we need to show that if C is true, then D is true, as well as to show if D is true, then C is true.) 2. A coin is provided that may be biased; the probability p that it comes up heads maybe any of the nine multiples of 0.1 from 0.1 to 0.9, all nine possibilities having the same prior probability 1 9 . We can imagine the coin to have been drawn at random from a large heap of coins of nine types, indistinguishable to the eye and present in equal proportions. When a coin of type k is tossed, it comes up heads with proba- bility k = 0 . 1 k, k = 1 , 2 ,..., 9 . The selected coin is tossed twenty-five times, and seven times it shows heads, eighteen times tails. Which is the most likely of the nine possible values of...
View Full Document

Page1 / 2

20082ee131A_1_HW4_new - EE 131A Homework #4 Spring 2008 Due...

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