1. Suppose that a number is to be selected from the real line S, and let A, B and C be the events represented by the following subsets of S: A = {r: 1 ≤ x ≤ 5}, B = {x:3

Q: The table below shows the number of people for three different race groups who were shot by police…

A: Given Information: ace/Armed Suspect was Armed Suspect was unarmed Total Black 543 60 603…

Q: Q2. How many numbers, at a minimum, should we choose at random from S = {10, 11, 12, 13, 14, 15, 16,…

A: Here, we have a given set and from that we have to choose the minimum numbers to guarantee that the…

Q: (a) A machinist produces 19 tooling parts during a shift. Two of the 19 items are defective, and the…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In a certain forest, there are 6 couples of bears (couple 1, couple 2, .., couple 6, each couple…

A: Hi, I am going to answer 3 subparts as per our policy. Given: There are 6 couples (=12 distinct…

Q: A set of dice is called intransitive (or non-transitive) if it contains three dice, A, B, C, with…

A: There are three dice, which have the following faces: Die A= {2,2,4,4,9,9} Die B= {1,1,6,6,8,8} Die…

Q: A group of 25 people is going to run a race. The top three runners earn gold, silver, and bronze…

A: given data total no. of runners = 25 and  we need to select top 3 runners

Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

Q: Prove that at a party where there are at least two people, there are two people w know the same…

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Q: Suppose a set of 8 numbers are selected from the set: {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13;…

A: It is given that 8 numbers are selected from the set 1,2,3,4,5,6,7,8,9,10,11,12,13,14.

Q: In each of (a)-(f), answer the following questions: Is AS B? Is B C A? Is either A or B a proper…

A: As per the policy of bartleby the provisions is to solve only one 3 subparts of questions at a time

Q: Consider a community where people have between 0 and 7 pets. Let A be the event of a person having…

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Q: Suppose that there are 43 candidates, 32 men and 11 women, who apply for the Graduate Hiring Program…

A: There are 32 men and 11 women. 8 candidates needed to be selected. X : Number of women selected. So,…

Q: 2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real…

A: Hi there! I see there are more than three sub parts in the question. According to our polocies can…

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

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

Q: After shuffling a deck of 52 cards, a dealer deals out 5. Let X = the number of suits represented in…

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Q: [G] Students (including yourself) from 5 area colleges are at a math conference (there are more than…

A: There are 5 colleges and I want to meet at least 8 from the same college.  Let us think of a case…

Q: (c) Find the number of distinct sets of 5 cards that can be dealt from a deck of 52 cards. () Find…

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Q: I contains 7 red balls and 7 blue balls. A w many balls must she select (minimun

A: Given, The number of red balls is 7 and the number of blue balls is 7 in the bowl. The number of…

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: Prove that at a party where there are at least two people, there are two people who know the same…

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Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

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Q: Let A = { {a}, {b}, {c}, {d}, {e} } Determine by extension P(A

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Q: Assume X∼N(0,4)X∼N(0,4). Which of the following code compute(s) P(X≤−0.5)P(X≤−0.5)?  A. qnorm(-0.5,…

A: X∼N(0,4)  We want to find the probability P(X≤-0.5)=?

Q: I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls labeled…

A: The events are occurring simultaneously. So,  Total combinations=combinations for green…

Q: 2.12. A bus starts with 8 people and stops at 12 locations. (a) In how many ways can the people get…

A: Total no.of people=8Total no.of locations=12

Q: Suppose that all the people in a country are ranked according to their incomes, starting at the…

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Q: After shuffling a deck of 52 cards, a dealer deals out 5. Let X = the number of sults represented in…

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Q: Show that for n attributes A A An , ,..., 1 2 , (A1 A2 ...An ) ≥ (A1 ) + (A2 ) + ... + .... + (An )…

A: To show that, For n attributes A1,A2,.....,An. (A1,A2,.....,An)(A1)+(A2)+...+(An)-(n-1)N Where, N is…

Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

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Q: The Human Resources office in a company observes the pattern of absences of employees by days of the…

A: Given: The company has 100 employees and over 10 weeks (5000 employee appearances) they notice that…

Q: A deck of 52 cards is equally dealt to 4 players. Find the number of ways to distribute the cards so…

A: Here given that there are 52 cards in Standard deck , 52 cards are equally dealt to 4 player .Here…

Q: In a population of 19,800 subjects, 25% possess a certain characteristic. In a sample of 330…

A: Note: Please repost 2nd question as i can answer only 1 question as per my policy.   Given data…

Q: Suppose that for s = {1,2,3,4,5,6,7,8}, p(1) = P(2) = p(3)=P(6) = 0.10 p(4) = p(7) = p(8) = 0.08…

A: Given that, s=1,2,3,4,5,6,7,8p1=p2=p3=p6=0.10p4=p7=p8=0.08p5=0.36 Then with A=1,3,5,6 and…

Q: 5. X = {a, b, c}. Give each of the following sets in roster notation. (a) {A: A E P(X) and |A| > 2}…

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Q: Suppose there are 10 students participating in a workshop that meets every day of a five-day work…

A: Given that there are 10 students participating in a workshop that meets every day of a five-day work…