9. How many words can be formed with the letters of the word 'SWIMMING' such that thevowels do not come together? Assume that words are of with or without meaning.С. 729А. 430В. 623D. 123910. 14 different letters of alphabet are given, words with 6 letters are fomed from thesegiven letters. How many no. of words are there which have at least one letter repeated?A. 892742B. 999988C. 213216D. 786730

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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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The Department of Mathematics of a certain university in a recent survey was found to consist of 80 faculty members. The survey also revealed the information that among them, there are: 40 male professors; 38 married professors; 26 professors with more than 10 years of service; 15 married male professors; 14 married professors with more than 10 years of service; 13 male professors with more than 10 years of service; and 6 married male professors with more than 10 years of service. How many unmarried female professors have less than or equal to 10 years of service?
John Allen Paulos has pointed out a problem with massive, untargeted wiretaps. To illustrate the problem, he sup-poses that one out of every million Americans has terrorist ties. Furthermore, he supposes that the terrorist profile is 99% accu-rate, so that if a person has terrorist ties, the profile will pick them up 99% of the time, and if the person does not have ter-rorist ties, the profile will accidentally pick them up only 1% of the time. Given that the profile has picked up a person, what is the probability that the person actually has terrorist ties? Dis-cuss how your answer affects your opinion on domestic wire-tapping. Source: Who’s Counting.
suppose that from a sample of 200,000 new york workers, 32,400 reported traveling more than an hour an day. From this information, statisticians determined that about 16.2% of the workers in the state traveled more than an hou to work every day in 2011. If there were 8,437,512 workers in the entire population, about how many traveled more than an hour to work each day?
Suppose there are 10 students participating in a workshop that meets every day of a five-day work week. Each student must present a poster in exactly one of the days of the workshop, and every day of the workshop should have at least one poster presentation. If nk denotes the number of posters presented in day k of the workshop, what is the number of possible quintuples (n1,n2,n3,n4,n5)? I ll rate accordingly.
2.A machine puts out 16 imperfect articles in a sample of 500.After themachine is overbauled it turns 3 imperfect articles in a batch of 100.Has themachine improved?
2.How many license plates consisting of 6 digits (0 to 9) have their digits in nondecreasing order?
Calculate the coefficient of x7y5zx7y5z in (x+y+z)13(x+y+z)13. (b) In her discrete math class, Karen was asked to count the number of four-person teams that could be formed from a group of 17 males and 13 females with at least one male and at least one female. They mistakenly argue as follows: There are 17 choices for a male on the team and 13 choices for a female on the team. After that, there are (282)(282) to choose the remaining two players from the remaining 28 individuals. Therefore, by the rule of product, there are 17⋅13⋅ (28⋅27)/2 different teams. i. Explain the error in Karen's reasoning. ii. Determine the correct number of four-person teams that can be formed with at least one male and at least one female. (You may leave your answer in terms of unsimplified binomial coefficients.)
4.) In how many ways can two dozen identical robots be assigned to four assembly lines with: (a) at least three robots assigned to each line? (b) at least three, but no more than nine robots assigned to each line? 4b please
In crossing of 30 white dams with brown sires, it is expected that half of the calves will be white and the rest will be brown. But the experiment showed that out of 30 calves, 20 were brown and 10 white. Can it be believed that there will be in general s that 50 per cent brown calves? Show the relationship between the 30 calves and 10 calves with the help of prefixed lavel of tuberculosis in slum area? ASP
2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people-who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. A. Two month? B.next month?
Suppose 34% of students chose to study German their junior year, and that meant that there were 272 such students. How many students chose not to take German their junior year?
In how many different ways can the letters of the word KNOWLEDGE be arranged in such a way that the vowels always come together? In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? From sale force of 150 persons, one will be selected to attend a special sales meeting. If 52 of them are unmarried, 72 are college graduates, and ¾ of the 52 that are unmarried are college graduates, find the probability that the sales person selected at random will be neither single nor a college graduate. A jar contains 3 red. 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then yellow marble?

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