A teacher administers a multiple-choice quiz with four questions and four possible answers: a, b, c, and d. What is the bare minimum of students required in the class to ensure that at least three answer sheets are identical? 2. What is the minimum number of students from each of the 15 regions who must be enrolled in a university to ensure that there are at least 52 from the same region?

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A: In mathematics, a permutation of a set is, loosely speaking , an arrangement of its members into a…

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A:

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A: We have to find What is the minimum number of students, each of whom comes from one of the 72…

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A:

Q: (b) A ∪ B=

A: Given : City NewYork Chicago Boston LasVegas SanFrancisco Respondents (%) 55 16 15 7 7…

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A: Given : x1= 250.0 n1= 400 x2= 360.0 n2= 500 significance level, 0.025

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A: We solve the given problem in next step.

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A: Given that  A survey of registered voters showed that  P(Democrats) = P(D) = 41% =0.41…

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A: Given Data: No. of Canadian=8 No. of German=7 No. of Chinese=6 No. of French=9 No. of Russian=9

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A: We have to apply the pigeon hole principle to solve this problem.

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A: Using permutations and combinations total number of ways can be calculated

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A: Combination is the arrangement without considering the order while permutation of a number of object…

Q: a

A:

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A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

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A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

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A: introduction - Method of proportion p'=xn where ,  x= Number of successes  n=sample size  p' =sample…

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A: Given: 48% of all California registered voters prefer life in prison without parole over the death…

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A: Given :

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A: E) All of the above

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A: The answers to the above questions are as follows :

Q: In a reader survey conducted by USA Today†, readers were asked to name the best U.S. city for…

A:

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Q: In words, what is L OR C? 10. Are L and C mutually exclusive events? Show why or why not.

A: Forty-eight percent of all California registered voters prefer life in prison without parole over…

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A: Givenx1=120n2=200p^1=x1n1=120200=0.60x2=240n2=500p^2=x2n2=240500=0.48α=0.05

Q: Forty-eight percent of all California registered voters prefer life in prison without parole over…

A: The given probabilities can be written as P(C) = 0.48 P(L) = 0.376