Given a class of 12 girls and 10 boys please answer these questions containing to these questions below: A.) In how many way can a committee of 5 consisting of 3 girls and 2 boys be chosen? B.) What is the probability that a committee of 5, chosen at random from the class, consisting of 2 boys and 3 girls?

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

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

A: For Clearwater Park Prob(P)=20/50=0.4=40% And Mountain View Park. Prob(P)=12/60=0.2=20%

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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: If 20% of the residents in a US city prefer a white telephone over any other color available, what…

A: Givenp=0.20n=1000x~Binomial(n=1000,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ;  x=0,1....,n

Q: A deck of 15 cards has 5 green cards labeled 1 through 5,five blue cards labeled 1 through 5, and…

A: We have given that  Total cards=15 5 green cards labeled 1 to 5 5 blue cards labeled 1 to 5 5 red…

Q: 4. The class is randomly divided between three instructors, with 6 people going to each instructor.…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: There are total (5+10+12+10+8)=45 students.  Among them (12+10)=22 are mechanical or electrical…

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: If a committee of 4 is to be chosen at random from a class of 10 students, what is the probability…

A: The number of ways a committee of 4 can be chosen from a class of 10 students =104 ways Note that…

Q: A poll is given, showing 60% are in favor of a new building project. If 7 people are chosen at…

A: A poll shows that 60% are in favor of a new building project. Seven people are chosen at random.…

Q: its number is found divisible by 3. What is the probability that its number is also divisible by 5?

A: Here use basic probability  and Bayes rule

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

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: 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: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Let  X be the number of agree with him  P(X>=2)= ?

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Here, the total number of customers is 2000. Number of customers who hold Visa is 1500 Number of…

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order…

A:

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: Given: Total number of students=45Number of Industrial students=5Number of electronics…

Q: 2. According to data from Statistics Canada, Chinese is the mother tongue of 8.1% of Toronto…

A: Provided information is, chinese is the mother tongue of 8.1% of toronto residents. This situation…

Q: In a group of 150 men, 70 have played pool at least once. Suppose one of these 150 men is randomly…

A: Given that there are total 150 men.  Out of 150 men, 70 have played pool at least once.

Q: 1.If 55% of the adult population is female, and a Jury consists of 12 adults, calculate the…

A: Given that n=12 , p=55%=0.55, q=0.45 X~Binomial(n=12,p=0.55)

Q: if a class has 2 freshmen, 1 shphomore, 3 juniors, and 5 seniors, what is the probability that three…

A: From the provided information, A class has 2 freshman, 1 sophomore, 3 juniors and 5 seniors. Total…

Q: In a group of 500 women, 120 have played golf at least once. Suppose one of these 500 women is…

A:

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: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Solution: A 52-card deck contains 12 face cards. Each suit contains one queen and one 5-numbered…

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A:

Q: Suppose 5 men out of 100 and 25 women out of 10,000 are color blind. A color blind person is choosen…

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: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: The number of industrial engineering student is 5. The number of electronic engineering student is…

Q: A card is drawn at random from a Deck of 52 playing cards. what is the probability that it is an ace…

A: Probability of an event is equal to the ratio of number of favourable outcomes for the event to the…

Q: 4) Determine the probability that a sibship of 6 will comprise: (a) 4 boys and 2 girls. (b) boys as…

A: As per guidelines only first 3 subparts have been answered.

Q: In a certain​ lottery, an urn contains balls numbered 1 to 30. From this​ urn, 5 balls are chosen​…

A: Given, In a certain​ lottery, an urn contains balls numbered 1 to 30. From this​ urn, 5 balls are…

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

A:

Q: From an ordinary pack of cards numbered from 1 to 20, a card is drawn at random. What is the…

A: Given that An ordinary pack of card numbers from (1 to 20 Sample space=S=(1,2,3,______,18,19,20)…

Q: Find the probability of obtaining the given 5-card poker hand. three of a kind

A: If we order the 5-card hand with three-of-a kind, we have 13C1 choices for the number of the first…

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

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: Assume that 11 cards are randomly selected from a stan- dard 52-card deck, without replacement. What…

A:

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A: