50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked vanilla, 25 people liked strawberry, and 30 people liked vanilla or strawberry. How many people like vanilla and strawberry?     How many people like exactly one of these two flavors?     How many people liked strawberry or did not like vanilla

Q: In a survey, students were askedabout their favorite subjects. The results as follows: 132 students…

A: Let M, S and E represent the set of students who like Math, Science and English, respectively.…

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: A researcher wishes her patients to try a new medicine for depression. How many different ways can…

A: Given: There are 47 patients. We use combination to find how many ways researcher can select 5…

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

A:

Q: Ms. Teller surveyed the 38 students in her class about their families. 28 students have a brother or…

A: solution of the given problem is below...

Q: Among a group of students, 70 played cricket and 40 played hockey. 18 played both cricket and…

A: Given : Cricket played=70 hocky played = 40 Both cricket and hocky played= 18

Q: How many ways are there to pick three dipping sauces, if you can pick three of the same?

A:

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: A survey of 80 people finds: 42 like Metallica. 27 like Queen. 5 like Nickelback. 15 like both…

A:

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: Of 10 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

A:

Q: 3. At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop…

A: Answer - At Wingstop,  customers ordering a family meal can choose 4 different wing flavors.…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

A:

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and five…

A:

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

Q: There are 6 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that there are 8 women and 6 men

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: 3) A crew is made up of 8 men; the rest are women. 66– % of the crew are men, How many people are,…

A:

Q: Out of 32 students in a class 5 said they ride their bike to school. Based on these results how many…

A: Unitary method : It is a method by  first determine the value of single unit and then determine the…

Q: Of 18 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6…

A: Given, Total  number of books = 18

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: There are 6 boys playing soccer. 3 boys go home. Then 1 more boy goes home. How many boys are there…

A: Given that there are 6 boys playing soccer, 3 boys go home then 1 more boy goes home. We have to…

Q: How many ways can 12 people line up if Joey and Sally must be next to each other?

A: here given group of 12 people arrange in raw   and arrange around round table

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: Among 120 pupils, it came out that 40 like both biscuits and toffees, 16 like neither and twice as…

A: Given: total no of people=120 No. of people who like neither biscuits and toffees=16 No. of people…

Q: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

A:

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: There are 5 men and 7 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that : There are 5 men and  7 women auditioning to be in the school play.  Total cast  = 5+7 =…

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

A:

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: In a class of 100 students, 42 students like Economics and 56 students like Art. 10 students don't…

A: Denote:  E: likes Economics A: Likes Arts AUE: Likes Economics or Arts A∪E: Likes Economics and Arts…

Q: At a restaurant 52 people were asked in a survey if they eat meat, fish, or both. Of those adults 10…

A: We can make a Venn diagram and clearly see from there.

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: A survey of 80 people finds: 42 like Metallica. 27 like Queen. 5 like Nickelback. 15 like both…

A:

Q: There are 4 men and 7 women auditioning to be in the school play. Answer the following questions:…

A: The number of ways 2 women , and 2 man can be selected from 4 men and 7 women is,…

Q: A group of 12 service dogs have been trained as K-9 units to assist the SWAT unit. How many ways are…

A: This is a combinatorics problem. So number of ways to select 3 dogs from 12 is:  C12,3=12!3!12-3!…

Q: You baked seven cupcakes of different flavor. In how many ways can you  give two cupcakes each to…

A: Here Given  Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

Q: There are 387 students who are enrolled in an introductory geology course. If there are four boys to…

A: Given: -There are 387 students who are enrolled in an introductory geology course. if there are four…

Q: 43% of the students in a school are boys. If there are 399 girls in the school, what is the entire…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: rom the 7 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 4…

A: It is given, Number of male representatives is 7, Number of female representatives is 6, A team of 8…

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Q: If a club consists of 12 members, how many different ways are there for the club to fill the…

A: Given,total members=12

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.