Among 360 college students, a survey is conducted that 202 take math classes, 170 take philosophy classes, 173 take English classes, 93 take math and philosophy classes, 45 take philosophy and English classes, 73 take math and English classes, and 12 take all three.  How many students do not take any of math, philosophy, and English classes?

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: The number of ways to select r number of different objects from n number of different objects can be…

Q: A survey of 71 college students was taken to determine the musical styles they liked. Of​ those,…

A: A survey of 71 college students was taken to determine the musical styles they liked Rock, Classic…

Q: A gourmet coffee bar conducted a survey to determine the preferences of its customers. Of the…

A: We will find out the required values.

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A: We have to find given probability..

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A: Here Total = 200 29 do not like any subject. So now total = 171 It can be solved by venn diagram…

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

A:

Q: A university course had three tests and 200 registered students. Of those students, 126 passed each…

A: Total number of registered student are 200. The number of student passed either test is 126. The…

Q: n a survey of 42 people, 16 liked country music, five people liked country and rap, 17 people liked…

A: Given that there are total 42 people, in which people who liked country music is 16, total number of…

Q: A committee of six is to be formed from nine women and three men. In how many ways can the members…

A: We need to find how many ways 6 members be chosen out of 9 women and 3 men in which at least one is…

Q: Assume that you have a committee of 11 members, made up of 6 men and 5 women. In how many ways can…

A: Determine the number of ways can the 3 tasks be assigned so that both men and women are given…

Q: Assume that you have a committee of 15 members, made up of 9 men and 6 women. In how many ways can…

A:

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Given information : Total number of people = 60 Number of people who read Manila Bulletin = 25…

Q: In a survey of X university students, 64 had taken Discrete mathematics course, 94 had taken Object…

A: Let the discrete mathematics course be represented by M, the Object-Oriented Programming course by…

Q: In a survey of 4584 people, 3290 had a car, 2222 had a pet, 3540 had a television set, 3047 had a tv…

A:

Q: In a survey of 283 college students, it is found that 66 like brussels sprouts, 90 like broccoli, 58…

A: Solution

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: The Parliament of the country of Koo has 176 members in all. Of them 52 belong to the Conservative…

A: We have, n=176= total number of members in parliament A= 52= the no. Of members belongs to…

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

A:

Q: A researcher asked 137 students regarding the type of shows that they watched. Among the total, 28…

A: Union of events: The union of two events A and B, denoted by (A∪B), consists all the outcomes that…

Q: In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of…

A: 1. Given that, the total number of athletes is nU=267. Let A represents the number of athletes owned…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: A gourmet coffee bar conducted a survey to determine the preferences of its customers. Of the…

A:

Q: In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55…

A:

Q: A survey of 101 college students found that 18 take only algebra, 21 take only statistics, 25 take…

A: The Venn diagram for the given information is,

Q: 59. Out of 5 mathematicians and 7 statisticians, a committee consisting of 2 mathematicians and 3…

A:

Q: Assume that there are 105 students: 45 of which like rock, 52 of which like country, and 23 of which…

A:

Q: A gourmet coffee bar conducted a survey to determine the preferences of its customers. Of the…

A: We will answer the first three parts of the question as per our guideline. Please resubmit the other…

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: In order for a field trip to be scheduled, at least 30 students must sign up. So far, 23 students…

A:

Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had…

A:

Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13 Find the sets of five marbles containing 2 yellow marbles:…

Q: In a restaurant, 100 tables had been served. Of these tables, 15 had dish A only, 20 had dish B…

A: Given that in a restaurant of 100 tables , 15 tables had dishes A only , 20 has dish B only , 15 had…

Q: From a group of 28 students, how many ways can all 28 of them stand in a line [ Choose ] three of…

A: Using Permutation and Combination we can solve these questions

Q: There are 2504 computer science students at a school. Of these, 1876 have taken a course in Java,…

A: We suppose that the set of students who have taken a course in Java be J, the set of students who…

Q: A survey of 275 adults found that during the last year, 70 traveled by plane but not by train, 40…

A: Introduction:Denote the following events for the different modes of travel:P: Plane,T: Train,B:…

Q: In a survey of 120 people, it was found 65 read Newsweek magazine, 45 read Time magazine and 42 read…

A: Let us denote Newsweek magazine by N; Time magazine by T and Fortune magazine by F. There are 20…

Q: A gourmet coffee bar conducted a survey to determine the preferences of its customers. Of the…

A: Given: Survey on the preference of coffee.

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: In a survey of 500 students in a university, 200 are enrolled in Math, 180 are enrolled in…

A:

Q: In a survey of 91 ​people, 25 reported that they read the Star newspaper and 34 reported that they…

A: the problem is base on inclusion and exclusion principal of sets let n(A) denote the numbers of…

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

A:

Q: Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction…

A: Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction…

Q: In a class, 96% students have at least one smartphone, 98% have a calculator, and 95% have a…

A:

Q: Each student in an international study group speaks English,Japanese, or Spanish. Of these students,…

A:

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: In a survey of 165 students, it was found that 65 students use Facebook, 85 students use Instagram,…

A:

Q: A math club has eight members, and it must choose 5 officers---president, vice-president, secretary,…

A: We have 8 persons and we have to fill 5 places for the 5 officers.

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A:

Q: , 41 of every 100 registered voters in a certain city voted. If there were 112,300 registered voters…

A: The voters voted from 100 registered voters is 41. so, The voters voted from 112300 registered…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.