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Unformatted text preview: Engineering Statistics ENGRD270 Homework 3: Elementary Probability; Conditional Probability Spring 2008 Hand in by 1:00pm on Fri, Feb 15 in the ENGRD270 dropbox (2nd Floor Rhodes). Be sure to write your name and section number (16) or day&time on your homework. In all questions, be sure to give the justification for your answers. 1. Devore (7th Ed.) Chapter 2: Questions 4 (p.50), 25 (p.59). 2. (Similar to Devore (7th Ed.) Q.30, p.65.) A friend of mine is giving a dinner party. His current wine supply consists of 4 bottles of zinfandel, 6 of merlot, 10 of cabernet and 12 of shiraz, all from different wineries. (He only drinks red wine!) (a) If he wants to serve 3 bottles of shiraz and the serving order is important, how many ways are there to do this? (b) If 8 bottles of wine are to be randomly selected from the 32 available, how many ways are there to do this (without regard for order)? (c) If 8 bottles of wine are randomly selected, how many ways are there to obtain exactly two bottles of each variety? (d) If 8 bottles of wine are randomly selected, what is the probability that this results in exactly two bottles of each variety being chosen? (e) If 8 bottles of wine are randomly selected, what is the probability that all of them are the same variety?...
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- Spring '05