2-let ftißer be a family of fopdogiesShow Thaon aset소a nuiqueاكيرa) There exists I largest Tapology on X-wichfamilysmaller than any one ST Theby There exists annique smalles TablegyConx which Larger Than anyone ofThe family

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The five most common words appearing in spam emails are shipping! today! here! available, and fingertips! (Andy Greenberg, "The Most Common Words In Spam Email;' Fo1beswebsite, March 17, 2010). Many spam filters separate spam from ham (email not considered to be spam) through the application of the Bayes theorem. Suppose that for one email account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam email are given below. shipping! .051 today! .045 here! .034 available .014 fingertips! .014 Also suppose that the proportions of ham messages that have these words are shipping! .0015 today! .0022 here .0022 available .0041 fingertips! .0011 If a message includes the word shipping! what is the probability the message is spam? If a message includes the word shipping!, what is the probability the message is ham? Should messages that include the word…
suppose K,n EZ and o
Find et5 (2t,)(
Evaluate ſ(r -)dr.
Suppose I’m placing 6 volumes of a mathematics book series on my shelf, but I’m in ahurry and my office is a mess, so I just put them on the shelf randomly. Assume that allpossible orderings of the 6 volumes are equally likely to occur. Also, note that each volumeis numbered “Volume 1”, “Volume 2”, etc.Let X = the number of volumes that are in the correct spots before the first incorrectlyplaced volume. For example: X = 3 for the arrangement 1, 2, 3, 5, 4, 6, since the first3 volumes are placed correctly, then the 4th spot has Volume 5 in it. Another example:X = 0 for 2, 6, 3, 4, 5, 1, since the very first spot has the wrong volume in it!(a) Find the support for X.(b) Compute the probabilities that X = x for each value x in the support in X.(c) Use the probabilities to determine the formula for the PMF as a singlefunction pX (x) = P (X = x) with input x
In how many ways can the television director of Exer-cise 38 fill the six time slots for commercials if there are three different sponsors and the commercial for each is tobe shown twice?
Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the bushes and vines in my yard. In one month, suppose he deposited the following in my carpet: 6 gray geckoes, 12 geckoes that had dropped their tails in an effort to escape, and 15 geckoes that he'd chewed on a little, only 1 of the geckoes was gray, chewed on and tailless, 2 were gray and tailless but not chewed on; 2 were gray and chewed on but not tailless. If there were a total of 24 geckoes left on my carpet, how many were tailless and chewed on but not gray?
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Question number 23
Prove that AABC A DEF. E4.2) 125 6-14.21. A6 4)
Compute C7,2
The right to vote (and not to wait) In the past decade, two presidential elections in the United States have witnessedvery long wait times at precincts (voting stations) in states that ultimately decidedthe election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in someprecincts, with most complaints coming from precinct A. In 2004, the averagenumber of voters arriving at Precinct A was 35 per hour and the arrivals of voterswas random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voterspent on average 100 seconds in the voting booth (this is the time needed to casther/his vote using a voting machine), with a standard deviation of 120 seconds.

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2-let ftißer be a family of fopdogies Show Tha on aset 소 a nuique اكير a) There exists I largest Tapology on X- wich family smaller than any one ST The by There exists annique smalles Tablegy Conx which Larger Than any one of The family