6. In all the state of the union (SOTU) addresses since that of President George Washington in theyear 1790 to that of President Barack Obama in the year 2016, a total of 69,158 sentences werespoken. In all SOTU addresses following that of President Woodrow Wilson 1920, a total of32,752 sentences were spoken; among these, 15,934 had a length or 20 words or more. Among thesentences spoken prior to this, 27,639 had a length of 20 words or more.See https://doi.org/10.46430/phen0061if you want to play with this kind of data.(a) If you select a sentence at random from the SOTU addresses given after 1920, with whatprobability does it have a length of at least 20 words?(b) If you select a sentence at random from the SOTU addresses given before or during 1920, withwhat probability does it have a length of at least 20 words?(c) If you select a sentence at random from all the SOTU addresses from 1790 to 2016, with whatprobability does it have a length of at least 20 words?(d) If you select a sentence at random from all the SOTU addresses from 1790 to 2016, what isthe probability that it belongs to a SOTU address given after 1920, given that it has a lengthof at least 20 words?Page 2

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A phone number consists of ten numbers. If the first digit cannot be 0, how many possible numbers can be formed?
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Chetan. A corporation plans on building a maximum of 11 new stores in a city. They will build these stores in one of three sizes for each location – a convenience store (open 24 hours), standard store, and an expanded services store. The convenience store requires 4125 to build and 15 employees to operate. The standard store requires 8250 to build and 30 employees to operate. The expanded-services store requires 12375 to build and 45 employees to operate. The corporation can dedicate 82500 in construction capital, and 300 employees to staff the stores. On the average, the convenience store nets 12000 annually, the standard store nets 20000 annually, and the expanded services store nets 26000 annually. How many of each should they build to maximize revenue?
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