In a particular office there are 12 faculty, 5 staff. A random person is selected. Give the probability of the event: A) That person selected is staff B) That person selected Is faculty

Q: Assume that 6 women and 8 men work in a department at a large company, a committee of 5 people from…

A:

Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: It is given that, Number of students who studied Mathematics =54 Number of student who Studied…

Q: A coin is biased so that the probability of heads is 3/5. What is the probability that exactly four…

A: Given : Probability of getting heads is, p = 35 q = 1 - p q = 25 flips are independent. n = 9 x = 4…

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: P(girl) = p(boy) = 0.5

Q: Assume that when adults with smartphones are randomly​ selected, 61​%use them in meetings or…

A:

Q: 1. Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12…

A: Probability = Number of favourable outcome/Total number of outcomes

Q: a boy chosen at random played exactly one sport b. a boy chosen at random played baseball, given…

A: Given : Total boys are 250 , 230 played baseball , 140 played soccer , 50 played both. Our aim is to…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: Suppose that 58% of customers at McDonald's order fries, and that 37% of customers are women. Also,…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Between 3 players (A,B, & C) 5 orange, 5 yellow, and 5 purple balls are divided randomly in a way…

A: In given information it is clear that, there are totally 15 balls (5 orange, 5 yellow and 5 purple )…

Q: A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given: Number of men=8 Number of women=8 Total number of Men and Women is, Total member=8+8=16 It is…

Q: In a class of 40 students, 22 students like mathematics, 20 students like science, and 8 students…

A:

Q: A financial services committee had 60 ​members, of which 10 were women. If 8 members are selected…

A: Basic concepts of Probability and Permutation-Combination are used.

Q: The mathematics department of a college has 14 male professors, 15 female professors, 9 male…

A:

Q: 2. A Engineering team has 120 members, of whom 44 are Electrical Engineers, 30 are Mechanical…

A: sample size = 120 Let E: Electrical engineers      M: Mechanical engineers PE: 44120=0.367PM:…

Q: assume there are 1 grey females, 4 grey males, 5 white females, and 6 white males. As in the book,…

A:

Q: What is the probability of neither being red given that neither is white?

A:

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that  An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: insurance company determines that the probability a person files a claim in the next year is 8%. If…

A: Given data,probability a person files a claim in the next year is 8%p=8%=0.08If n=10what is the…

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Given,n=6p=0.54q=1-p=1-0.54=0.46X=No.of adults use their smartphones in meetingsor…

Q: uppose Ari loses 40% of all thumb wars (a) What is the probability that Ari loses two thumb wars in…

A: The probability that Ari losses thumb wars is 0.40.

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: Given data Probability that adult with smartphones will use them in meetings  = 0.47 Number of…

Q: Suppose that 30% of people own dogs. If you pick two people at random, what is the probability that…

A: Let X be the number of dogs from binomial distribution with probability (p) = 30% = 0.30 and sample…

Q: Assume that you have 10 mice in the cage: 3 white males, 5 gray females, and 2 gray males. Two mice…

A: When two mice are selected simaltaneously and at randam, it is given that exactly one is gray,…

Q: Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: A jury of 6 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given :Number of man = 8 Number of females = 8 Total number of members = 8+8=16 We want to choose…

Q: A spinner with 6 equally sized slices has 2 blue slices, 1 red slice, and 3 yellow slices. The dial…

A: We have to find given probability.

Q: Of the people who fished at Clearwater Park today, 30 had a fishing license, and 20 did not. Of the…

A: Solution

Q: An Italian deck of cards, which is made up of 40 cards: 4 suits (Denari, Clubs, Swords, Cups) of 10…

A: Given that, An Italian deck of cards, which is made up of 40 cards: 4 suits (Denari, Clubs, Swords,…

Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…

A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…

Q: If an urn has five white balls and 10 red balls what is the probability that five randomly selected…

A: Given that an urn has 5 white balls and 10 red balls. Total number of balls is 5+10=15 Number of…

Q: If N persons are seated at a round table find the probability that two named persons are neighbours…

A: Here Given  N persons seated at a round table.

Q: Suppose a card is selected from 52 given cards Let A=event of selecting a face card, B=event of…

A:

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a)…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A:

Q: A jar holds 25 cookies, 8 are chocolate-chip cookies, and 17 are brussel-spout-with-turnip-chips…

A: We have to find correct answer ...

Q: 2.) An inspection procedure at a manufacturing plant involves picking three items at random and then…

A: Given Information: An inspection procedure at a manufacturing plant involves picking 3 items at…

Q: In a study by the Department of Transportation, there were a total of 89 drivers that were pulled…

A: a) There are total 89 drivers, among which 36 men were ticketed and 15 men were not ticketed.

Q: A jar holds 20 cookies, 14 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: Given a jar contains 20 cookiesNo.of cookies = 20No. of chocolate-chip cookies = 14No.of brussel…

Q: 2 A local bank reports that 80% of its customers maintain a checking account, 60% have a savings…

A: Let C - checking account. S - savings account P(C) = 0.80 P(S) = 0.60 P(C and S) = 0.50

Q: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Q: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.