Your drama teacher has to choose a female lead and a male lead from 5 female actresses and 3 male actors. Let females = {a, b, c, d, e} and • Let males = (x, y, z}. List the outcomes.

Q: The number of students in classes P, Q, R and S is 6:5:3:2 respectively. The total marks scored by…

A: Introduction :

Q: If 3% of the thermometers are rejected because they have readings that are too high and another 3%…

A: Solution:From the given information, the 3% of thermometers are rejected because that is having…

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: (1). Find the transition matrix for the given Markov process: Suppose the animal is in woods on one…

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Kara did a survey to determine to study the types of pets that students in her school had. She…

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Q: SITUATION: In a group of 110 students, 65 likes Biology, 45 likes Chemistry, 42 likes Mathematics,…

A: We are entitled to solve only one question at a time and up to 3 subparts only. Please submit other…

Q: If the average of 5 numbers 23, 36, 15, x, 19 is 20 then the value of x is:

A: The objective is to find the value of x.

Q: At a DBE lecture of 100 students there are 29 women and 23 men. Out of these students 4 are teachers…

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Q: The number of ways in which a team of eleven players can be selected from 22 players including 2 of…

A: Total number of players is 22. Number of players to be excluded is 4. Then, the number of players…

Q: students and found that 40% of them had cats, 12% had both cats and dogs, and 45% didn't have…

A: Given: No of students-300 Students who had cat- 40% Students who had both cat and dogs- 12% Students…

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

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Q: In a survey of middle school students, 70% play basketball and 40% play basketball and football. Of…

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Q: Two boxes, A and B, contain 2 balls and 6 white, and B contains 2 red and white. If one of the boxes…

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Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

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

Q: A garderning company is planting trees and flowers at 3 sites on the median of a new road. For each…

A: * SOLUTION :-

Q: A criminal gets to pick his punishment by choosing among three rooms.  The first is full of burning…

A: There are three rooms First is full of burning fires Second is full of assassins with loaded guns…

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: Of the 328 patients that completed the survey last year, 211 of them claimed to be returning…

A: Given: 328 patients completed the survey 211 patients returning

Q: A researcher wanted to estimate the difference between the percentages of users of two tooth- pastes…

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Q: The number of ways to distribute 9 toys to 4 children so that the youngest child receives 3 toys and…

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Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A:

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: According to FBI data, 12% of burglaries.   What should we conclude if the detective clears all…

A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…

Q: In a survey conducted by Helena, a financial consultant, it was revealed that of her 400 clients,…

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Q: You are forming a team of 4 from a set of 7  players. The order of the players in the team does not…

A: Given that there is a total of 7 players. We will select a group of 4 players.  Since it is a group,…

Q: In row 2 there are 28 seats and in row 4 there are 44 seats. What is the number of seats in row 10?

A: The given data in the question is converted into a table

Q: A poll of 500 people determines that 382 like ice cream and 362 like chocolate.  How may people like…

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Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

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: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: If the score of 3 courses for a student who studied at a university are 81, 62, 74 with credit hc…

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Q: In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both…

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Q: A builder is planning to build 12 houses along one side of a road. He will build 2 houses in style…

A: Given data: The total numbers of houses are n=12. The number of styles A house is A=2. The number of…

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: If a person is making the minimum salary for a construction worker, they are making more than what…

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Q: How many ways can A, B, C, D, and E stand in a line if C and D must stand next to each other?

A: C and D will stand next to each other. So we can assume CD as one element C and D can arrange in 2…

Q: Suppose B = (-4, 5, – 7) and AB = (-2, 10, –6). Then | | A help (points)

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Q: Suppose u = (1,0, –2), v = (-6, –-15, -3), and w = (4,10, 2). W

A: Write u and v in vector form.

Q: Maximize =3x, +2x, +x, 2.x, +x, +x, s150 Subject to 2x, +2x, +8x, s 200 2x, +3x, +x, 5 320 with x…

A: Given, Maximize z =3x1+2x2+x3Subject to 2x1+2x2+x3≤1502x1+2x2+8x3≤2002x1+3x2+x3≤320with,x1≥0, x2≥0,…

Q: Maria and John have decided that once they live in a house, they want to have a pet. They go to an…

A: Given that there are total 22 dogs.  They want to select 2 dogs.  So the number of combinations of 2…

Q: A business has seven locations to choose from and wishes to rank only the top three locations. How…

A: Introduction: The total number of available locations is, n = 7. The number of locations to be…

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: A college biology teacher wants to know whether being tutored at the study lab will help her…

A: Here teacher wants to know whether being tutored at the study lab will her students for scoring high…

Q: Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have…

A: Given that there are 1000 students in school. We need to check if there are some pair of students…

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

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Q: A life insurer classifies insurance applicants according to gender (i.e male or female ) and smoking…

A: Events: A: An applicant is a male. AC: An applicant is a female. B: An applicant is non-smoker. BC:…

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.