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Unformatted text preview: University of California, Berkeley, Statistics 134: Concepts of Probability Michael Lugo, Spring 2011 Exam 1 February 16, 2011, 11:10 am - 12:00 noon Name: Student ID: This exam consists of seven pages: this cover page; five pages, each containing one problem with several parts; and a table of the normal distribution. You may use a calculator, and notes on one sides of a standard 8.5-by-11-inch sheet of paper which you have written by hand, yourself. You must show all work other than basic arithmetic. Write your name at the top of each page. Each problem is worth 20 points, for a total of 100. Weights of problem subparts are indicated on the problems. DO NOT WRITE BELOW THIS LINE 1. 2. 3. 4. 5. TOTAL 1 Name: 1. Three ordinary, six-sided dice are rolled. (Each has the numbers 1, 2, 3, 4, 5 and 6 on its faces.) What is the probability that: (a) All three dice show different numbers? [5 points] (b) The sum of the numbers showing on the dice is 16? [5 points] (c) The largest of the three numbers shown is 5? [5 points](c) The largest of the three numbers shown is 5?...
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