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Unformatted text preview: CS 70 Discrete Mathematics for CS Spring 2005 Clancy/Wagner HW 13 Due Tuesday, May 10 Coverage: This assignment involves topics from the lectures of April 26 and May 3, and from Rosen section 3.2 (pages 233236). Administrative reminders: We will accept only unformatted text files or PDF files for homework sub mission. Include your name, login name, section number, and partner list in your submission. Give the command submit hw13 to submit your solution to this assignment. Homework exercises: 1. (10 pts.) Using standard units Let Z be a random variable that has a normal distribution with mean 0 and variance 1. Given a real number z , there are tables that allow us to compute Pr [ Z ≥ z ] as a function of z . The value z is sometimes called a zscore. For example: • The “right tail”: Pr [ Z ≥ 1 ] ≈ . 1587. Pr [ Z ≥ 2 ] ≈ . 0228. The right tail is the area under the normal curve represented by all values greater than or equal to z . • The “left tail”: Pr [ Z ≤ 1 ] ≈ . 1587. The left tail represents the values less than or equal to z . You can find resources for calculating these values—e.g., normal tables, normal calculators—at http: //www.cs.berkeley.edu/˜daw/teaching/cs70s05/tables.html . These allow you to go back and forth between a zscore z and the area under the standard normal curve represented by all values greater than z (the “right tail”), or the corresponding area represented by all values less than z (the “left tail”). (a) Let Z be normally distributed with mean 0 and variance 1. Use one of the tables or calculator mentioned above to find the approximate value of Pr [ Z ≥ 3 ] ....
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This note was uploaded on 09/03/2011 for the course CS 70 taught by Professor Papadimitrou during the Fall '08 term at Berkeley.
 Fall '08
 PAPADIMITROU

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