Show that if any 14 numbers are selected from the set S = {1,2, 3, ..., 25}, %3D there are at least two whose sum is 26.

Q: For what values of nn will the number of ways of selecting nn items from 60 exceed the number of…

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Q: According to a census company, 7.1% of all babies bon are of low birth weight. An obstetrician…

A: H0 : p = 0.071 H1 : p > 0.071   Observed value of low birth = 28 Observed value of not low birth…

Q: How many elements of order 4 does A has.

A: To find Number of elements of order 4 does A6 has

Q: Construct a stem-and-leaf display for the hours that 20 students spent studying for a marketing…

A: Stem and leaf plot indicate the frequency by which certain classes of data exist. The stem on the…

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

Q: The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore…

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Q: In a survey of 3159 adults aged 57 through 85​ years, it was found that 86.2​% of them used at least…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. It…

Q: For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n queens?

A: To find- For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n…

Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…

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Q: How many possible results are there that A finished the first, B finished the second, and C finished…

A: SIX STUDENTS ARE SELECTED TO RUN 100 METER SPRINT. ASSUME THAT THEY ARE EQUALLY GOOD AND RESULT ARE…

Q: c) How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at…

A: Given the set of numbers 1,2,3,4,5,6,7,8 To find how many numbers must be selected from the set to…

Q: A study was done to determine the efficacy of three different drugs-A. B. and C-in relieving…

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Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: how many combinations are possible? assume the items are distinct. 16 items chosen 16 at a time

A: Only one combination is possible.

Q: Compute (x - 5) for the following set of n = 7 values. x1 = 8, x2 = 19, x3 = 14, x4 = 10, x5 = 16,…

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Q: The postmaster of a small western town receives a certain number of complaints each day about mail…

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Q: If any subset of size six is chosen from the set S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4), then prove…

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Q: Is it possible to get the following from a set of experimental data: (a) r23 = 0-8 13 = -- 0-5, r12…

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Q: If any subset of size six is chosen from the set S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4}, then prove…

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Q: Describe the possible inputs of S(n) using words.

A: The possible inputs for S are the numbers on a dice

Q: Show that for all n:  ceil(n) = -floor(-n)

A: In the given question we have to prove that ceil(n)=-floor(-n) That is…

Q: Which of the following lists is in order from smallest to largest? 4 O– . 0.125, 1.5%, 1 5. 20…

A: 320 = 3x520x5 = 15100 = 0.1500.125 = 0.1251.5% = 151000 = 0.015145 = 1.8 = 1.800

Q: How many elements of order 5 are in S7?

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Q: Given the following data, find frequencies of the remaining (i) Positive classes and (ii) Ultimate…

A: Answer: From the given data,

Q: In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read…

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Q: Find the number of distinguishable permutations of: 6 Es, 4 Is, and 5 Ls

A: Number of ways to arrange n elements in n places where a elements are identical, b elements are…

Q: On average, the data are greater in Set A and are more spread out in Set A On average, the data are…

A: Mean for set A = 28.2 Mean for set B = 25.9

Q: Consider a room with 200 people. Let X be the number of days of the year in which there are exactly…

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Q: 7. How many planned to do at most ane of these activities?

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Q: Consider the problem of allocating a fixed quantity ofx between four people with 10

A: Given quantities: a) 32 b) 72 c) 86 d) 128 The most preferred amounts of four people are, 10, 20,15,…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

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Q: The scores for the first round were as follows:   74 65 67 73 74 73 71 71 74 73 67 68 75 71 72 71 65…

A: Given information: The scores for the first round for the players are provided as: 74 65 67 73 74…

Q: There are n balls in the urn , of which (n-1) balls are marked   with the number 1 , and the last -…

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Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

Q: 1. How many ways can Max colour 5 adjacent regions on a map if he has a set of 11 coloured pencils?…

A: To find the number of ways in which Max can colour 5 adjacent regions on a map, if he has a set of…

Q: What is the minimal number of remaining votes Tate needs to be assured of a win?

A: We just need more votes from other apart from more votes than all other candidates combined…

Q: er

A: To find all the permutations of the 4 objects a ,b, c, and d, taken 3 at a time.

Q: Show that if any 14 numbers are selected from the set S = {1,2,3,...,25}, [14] there are at least…

A: Note that the numbers in each of the first twelve sets sum to 26, and that there is no pair of…

Q: Find the number of ways in which any 3 of 40 students can be ranked fırst, second, and third…

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Q: Compute for the x-scores of the following:    z = -2.44, μ = 102.63, and σ = 35

A: Normal distribution is a continuous distribution that has so many real-life applications. The…

Q: In a sample of 1,000 individuals, 100 possess the attribute A and 300 possess attribute B. A and B…

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Q: How many possible of size n=4 can be drawn from a population of size 15?

A: Population size z N= 15 And we want to draw n=4 size of samples.  There are NPn ways to draw the…

Q: Compute the following numbers:d. How many 5-card poker hands are possible? (There are 52 total cards…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: The results of a survey taken by a bank in a​ medium-sized town are shown in the table. The survey…

A: The intersection of the sets Y and B will give the number of people who are between the age 18-29…

Q: Assume that the U.S Open Golf Tournament was played at Congressional Country club, with prizes…

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Q: The accompanying table shows the numbers of male and female students in a particular country who…

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Q: Using the pigeonhole principle Assuming no one has more than 1,000,000 hairs on the head of any…

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Q: The populations, P, of six towns with time t in years are given by 1 P=1700(0.98)t 2…

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Q: For the experiment in which the number of pumps in use at a single six-pumps gas station is…

A: 1.Look elements of both set A and B carefully 2. Cancel all the elements which is found similar in…