In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total number of scholars submitting ballots is 500 , how many scholars will select King over his opponent ?

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

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Q: If there are 9 candidates in an election, how many pairwise comparisons need to be made in order to…

A: So first we will do 4 comparisons and eliminate 4 candidates. Then we will left with 5 candidates.…

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

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Q: A small ice cream parlor has had great success over the past several years and is interested in…

A: Given information: Number of customers randomly selected in the sample, n = 56 Number of customers…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: An ice-skating rink inspects 25 pairs of skates and finds 2 pairs to be defective. rink has 150…

A: Given       an ice -skating rink inspects 25 pairs of skates…

Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: In a race of 24 people, the top 8 are awarded different amounts of prize money, with first receiving…

A: Permutation: The number of different arrangements of ‘r’ elements (order matters) from a set of ‘n’…

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: In a survey of 400 students in a school, 100 were listed as taking applejuice, 150 as taking orange…

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Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: A taste-testing survey of Zing Farms showed that 2/3 of the people surveyed preferred the taste of…

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Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: Three members of a jury will be randomly selected from five people. How many different combinations…

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Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

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Q: From a sack of fruit containing 3 oranges, 2 apples and 3 bananas, a random sample of 4 pieces of…

A: Given: n(oranges) = 3 n (apples) = 2 n (Bananas) = 3 n (total) = 3+2+3              = 8 n(drawn) = 4…

Q: he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to…

A: Given Number of zinfondel bottles z=11 Number of Merlot bottles m =7 Number of cobernet bottles c=13…

Q: In 2013, 46% of high school students tried a tobacco product. From a survey of 500 randomly…

A: Given : Population proportion =46% n=500

Q: How many matches are played in a badminton tournament of 27 players?

A: Sol

Q: From a group of 12 students, we want to select a random sample of 4 students to serve on a…

A: From the provided information, Total students in a group = 12 The different ways of selecting r…

Q: From a survey of 100 college students, a marketing research company found that 50 students owned…

A: Given form a survey of 100 college students a marketing researchcompany found that 50 student…

Q: In an election with 7 candidates, how many pairwise comparisons would need to be made in the Method…

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Q: in a horse race how many different finishes amongst the first three places if 16 horses are running?

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Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: In a large school, it was found that 71% of students are taking a math class, 72% of student are…

A: Given : In a large school, it was found that 71% of students are taking a math class, 72% of student…

Q: A company conducted a marketing survey of its clientele and found that 215 own an iPhone and 106 own…

A: It is given that 215 of the clients own an iPhone and 106 own an iPad. If 19 clients own both an…

Q: In a blended party where 76 attendees are onsite and 35 attendees are online via zoom, a grand prize…

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Q: If 8 boats enter a​ race, how many possibilities are there for the first through third place​…

A: The numbers of different possibilities are obtained below: The permutation formula is shown below.…

Q: A college survey was taken to determine where students study. Of 140 students s cafeteria, 76…

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Q: In a poll, 327 students voted. Nominee A received , of the votes. How many votes did Nominee A 3…

A: Given that, in a poll 327 students voted. Nominee A recieved 23 of votes. The objective is to find…

Q: In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking…

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Q: Eight students entered the testing room that had 20 chairs evenly arranged on each side. If two of…

A: Let us assume there are three ladies A, B and C sitting beside each other. The different ways in…

Q: A company conducted a marketing survey of college students and found that 191 own a bicycle and 74…

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Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: Given:  Total No of Men=6 Total No of Women=7 Formula used: The formula for combinations is given…

Q: In a class election with 11 students and 3 candidates, how many different vote outcomes are…

A: Given In a class election with 11 students and 3 candidates, the 3 candidates do not vote, so the…

Q: An ice cream parlor has six flavors of ice cream. Kristen wants to buy two flavors of ice cream. If…

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Q: Three members of a committee will be randomly selected from five people. How many different…

A: We have to find number of different combinations possible.

Q: Out of 500 people in a room, 200 of them are wearing red shirts. Of the people wearing red shirts,…

A: Total number of people in the room n= 500 People wearinng red shirt, r=200

Q: The five finalists in the Miss Universe contest are MissArgentina, Miss Belgium, Miss U.S.A., Miss…

A: According to rule of combination the number of ways to select r elements out of n distinct elements…

Q: a 60 person committee is deciding to add a player to the hall of fame. one fifth voted against and…

A: Given Data: The total number of members in the committee is: n=60 Let x is the number of people who…

Q: Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book,…

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Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

Q: If 5 cards were picked at random from a deck of 52 cards, find P(Exactly 2 are hearts)?

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.