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A pair of tetrahedral dice are rolled (see Exercise 30.8). Let X be the sum of the two

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 34.3 Chapter 34

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 34.3

A pair of tetrahedral dice are rolled (see Exercise 30.8). Let X be the sum of the two numbers and let Y be the product. Find E.X / and E.Y /.

Step-by-Step Solution:

Calculus 1 Chapter 2, Section 2 – Intro to Limits (cont.) and Their Properties Prior to this, were learning how to solve limits as x approaches a number analytically with use of algebra, but now we are going to look at how to solve a limit using a table method. Don’t worryit is not anything hard, it concludesofmaking a table andwriting down close numbers to the leftandrightofthe limitandpluggingthosevaluesto findvaluesthatdrawclosetothelimit.Thisapretty simple method to follow. Let’s look at an example which we can solve for the limit using the table method: Ex.1: − 7 + 12 () = lim = →3 − 3 First, we must find what make the f(x)= 0, which is 3 as x approaches 3 the whole function becomes 0, so in our table when x is at 3, it will be undefined. The key note is that a limit is not at a value but a close to that value. Now that know that the f(x)=0 at 3, we must find numbers to left of 3 (less than 3) like 2, and values much closer like 2.9 and 2.99. Also find numeric values closest to 3 on the right side (greater than 3) as well in order to set up our table like 3.01, 3.1 and 4. Step 1: Set up table with the following x-values. x 2 2.9 2.99 3 3.01 3.1 4 F(x)

Step 2 of 2

Chapter 34, Problem 34.3 is Solved
Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

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A pair of tetrahedral dice are rolled (see Exercise 30.8). Let X be the sum of the two