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Homework #1 Due Monday, Jan 30, 2012 beginning of class. Statistics 1 (Norris), Spring 2012 Answer the following questions on a separate sheet of paper. 1) Post a photo of yourself to SacCT. 2) What do the terms “growth mindset” and “fixed mindset” as coined by Dr. Carol Dweck of Standford University mean? Do some internet research and give a 2-3 sentence definition of each term. You might start with http://mindsetonline.com/ 3) Suppose a fair coin is tossed 4 times. a) b) c) d) List the sample space. Hint a tree diagram may help. What is the probability of obtaining all heads? What is the probability of obtaining exactly 2 heads? How many outcomes would there be in the sample space is the coin were tossed 5 times? 10 times (look for a pattern instead of drawing a tree diagram)? 4) A contestant on a game show is given three price tags displaying the values $1050, $1300, and $1540 and is shown three prizes – a refrigerator, a moped and a sofa. The contestant will win the number of prizes that he correctly matches the price tags to. Assume the contestant guesses how to match the price tags. a) b) c) d) Write the sample space for this experiment. You might consider a tree diagram. What is the probability the contestant wins all 3 prizes? What is the probability the contestant wins exactly 2 prizes? What is the probability the contestant wins exactly 1 prize?