ࡱ> =?<a ujbjb11 $ [[s8J V)~~~~~~~~z(|(|(|(|(|(|(,*R,(~~~~~(~~(~4~~z($~z([$z(r asz'z((0)'--(z(  Statistics: Practice, Unions and Choosing Wednesday 28 November 2007 Mr. Quinn Part I: Combinations and Permutations You have 21 friends but can only bring 18 to your Big Birthday Bash. How many ways can you choose who goes? You have 121 songs on your iPod and need to make a mix of 4 for Nobles Annual Fashion Show and Karate Expo. How many different mixes can you make? If there are 13 red marbles in a bag, and 17 blue, what is the probability if you draw three that theyre all blue? Choose 6 states at random what is the probability that none of them are in New England? You are dealt three cards from a deck what is the probability that they are all hearts? A tough one: a class has 3 girls and 7 boys. If you pick 6 students, what is the probability that you pick all of the girls. Part II: Unions A survey of high school students found that 44 % had computers, 21 % had mp3 players, and 14 % have both. What is the probability that a high school student has: One or the other, but not both? Neither an mp3 player nor a computer? Just an mp3 player? Just a computer? One, the other, or both? 91 % of all Americans have cable television. 80 % have both cable television and high-speed internet. 4 % have neither. What % have just high-speed internet? What % of people with cable television also have high-speed internet? Are having cable television and having high-speed internet distinct? How can you tell? Are having cable television and having high-speed internet independent? How can you tell? 58 % of Americans believe that the war in Iraq is going well. 46 % of Americans think that schools are getting enough money. 61 % of people who think that Iraq is going well also think that schools are getting enough money.What is the probability that an American chosen at random thinks schools are not getting enough money? an American chosen at random thinks that both Iraq is going well and schools get enough money? an American who thinks that schools are not getting enough money also thinks that Iraq is not going well? 36 % of all teenagers say that they watch MTV, and 59 % say they plan to go to college. 22% say that they both watch MTV and plan to go to college.What is the probability that. A student chosen at random does not plan to go to college? A student chosen at random either plans to go to college or watches MTV? If a student watches MTV, they also plan on going to college? If a student plans on going to college, they also watch MTV? 24 dogs, 18 cats, 8 dogs and 6 cats are male. Are the species and gender independent? Why or why not? 28 % of Americans are Republicans who favor the death penalty. 6 % are Republicans who dont. 45 % of Americans are Democrats who dont favor the death penalty. What is the probability that a randomly chosen voter favors the death penalty? a republican favors the death penalty? a voter who favors the death penalty is a democrat? Part III: Intersections You just bought a set of four new tires, and just your luck!!! the manufacturer has announced that 3% of its tires are defective. What is the probability that you have no defective tires? You roll a fair die three times. What is the probability that You roll three 6s? You roll all odd numbers? None of your rolls is divisible by 3? You roll at least one 5? You dont roll all 5s? Since the stock market began in 1872, stock prices have risen in about 73 % of all calendar years. 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