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In mathematics, a rectangular array of numbers such as this is called a matrix. Matrix algebra is a separate field of study, but we are only concerned with using the matrix function on our calculator to find a set of expected values (which we ll need to check the conditions for doing a hypothesis test using the chi-square statistics). Go to MATRIX EDIT [A]. Note that our data matrix has three rows and two columns, so make the dimension of the matrix (the numbers right after MATRIX [A]) read 3 2. The calculator expects you enter the data by rows, so just enter 130, 120, 75, 35, 28, 12 in order and the matrix will be correct. Now, QUIT the MATRIX menu and go to STAT TESTS 2-test (Note: Technically we don t yet know that we have the conditions present to do a 2-test, but this is the way we ll find our expected values.) Enter [A] for Observed and [B] for Expected (you can paste [A] by entering MATRIX NAMES [A]). Then choose Calculate. The calculator will return some things we don t care about yet (X 2 = 10.748, p = 0.0046, and df = 2). Now return to the MATRIX menu and select NAMES [B] and press ENTER. You should get the following matrix of expected values: 145 .625 104 .375 64 .075 45 .925 23 .3 16 .7 Note that the entry in the second row and second column, 45.925, agrees with our hand calculation for Exp. in the previous example. The 2-test for independence can be summarized as follows.

Notice that the gate level description has two registers (FDSR1) with mux (Mux21S) logic controlling the output signal from each register Depending on the technology library selected and the constraints, the mux logic varies widely from and-or-invert gates to instantiated 2-input multiplexers Following is the netlist generated by the Exemplar Logic Leonardo Spectrum synthesis tool for the same design:.

software in middleware applications. However, within a few years the data and services will probably be hosted in next-generation identity management systems. A full description of what s next in identity management is beyond the scope of this book. However, if you plan to roll out a multi-year initiative for social software, you need to be mindful of the latest advances in identity management as well.

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The Doctrine_Pager component, at http://www.doctrine-project.org/documentation/ manual/1_1/en/utilities#pagination:working-with-pager The Zend_Paginator component, at http://framework.zend.com/manual/en/zend .paginator.html The Zend_File_Transfer component, at http://framework.zend.com/manual/en/zend.file .html Filters and validators for the Zend_File_Transfer components, at http://framework.zend .com/manual/en/zend.file.transfer.filters.html and http://framework.zend.com/manual/ en/zend.file.transfer.validators.html The Zend_Config component, at http://framework.zend.com/manual/en/zend.config .html The Zend_Registry component, at http://framework.zend.com/manual/en/zend.registry .html The Bootstrap class and the local resource registry, at http://framework.zend.com/ manual/en/zend.application.theory-of-operation.html An explanation of the Registry pattern (Martin Fowler), at http://martinfowler.com/ eaaCatalog/registry.html A discussion of creating a custom resource plug-in for the Zend Framework bootstrapper (Stefan Schmalhaus), at http://blog.log2e.com/2009/06/01/creating-a-custom-resourceplugin-in-zend-framework-18/ A tutorial on the Zend_Config component (Aaron Wormus), at http://devzone.zend.com/ article/1264

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The information in the IsSigned column is useful for troubleshooting because a value of FALSE indicates that a driver has not been approved by Microsoft for use with Windows. For more information about Driver Query, click Tools in Help and Support Center. For more information about driver signing, see Driver Signing and Digital Signatures earlier in this appendix.

Part I:

Another way to say this is: If X has B(n, p), then X has approximately N (np , np (1 p )) , provided that np 10 and n(1 p) 10 (or np 5 and n(1 p) 5). example: Nationally, 15% of community college students live more than 6 miles from campus. Data from a simple random sample of 400 students at one community college are analyzed. (a) What are the mean and standard deviation for the number of students in the sample who live more than 6 miles from campus (b) Use a normal approximation to calculate the probability that at least 65 of the students in the sample live more than 6 miles from campus. solution: If X is the number of students who live more than 6 miles from campus, then X has B(400, 0.15). (a) = 400(0.15) = 60; = 400(0.15)(0.85) = 7.14. (b) Because 400(0.15) = 60 and 400(0.85) = 340, we can use the normal approximation to the binomial with mean 60 and standard deviation 7.14. The situation is pictured below:

Section 8.7 is a reprint of Cisco s white paper Voice Trunking and TollBypass Trunking Using Cisco MPLS diffserv-Aware Traffic Engineering. 15

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