Suppose there are three rooms of individuals as follows: In Room 1 there are 5 math majors and 6 engineering majors; in Room 2 there are 4 math majors and 2 engineering majors, and in Room 3 there are 6 math majors and 3 engineering majors. Assume you randomly choose a room, each with probability 1/3, and then choose 3 persons, again with all choices occurring with equal probability. Suppose your selection consists of 3 engineering majors and no math majors.

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

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Q: A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are…

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Q: a.  A bag contains 4 green marbles, 6 white marbles, and 10red marbles. If a marble is drawn from…

A: a. There are 4 green marbles, 6 white marbles, and 10 red marbles in the bag. Total number of…

Q: Among a group of 22 stocks, suppose that 11 will perform above average and the other 11 will perform…

A: Let A be the event of all 4 stocks with above-average performance. Then P(A) is defined as: P(A) =…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: Suppose that 30% of all voters prefer Candidate A. If 8 people are chosen at random for a poll,…

A: We have given that  n=8 , p=30%=0.30 , q=1-0.30=0.70 X~Binomial(n=8 , p=0.30)

Q: A group of students consisting of 20 males and 20 females was selected to participate in a research…

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Q: In a jar of 50 marbles, there are 10 marbles of each colour that are red, green, and blue, and 20…

A: Given: Number of red marbles = 10 Number of green marbles = 10 Number of blue marbles = 10 Number of…

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: A financial services committee had 6060 ​members, of which 88 were women. If 77 members are selected…

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Q: 1. In a class of 30 students, there are 14 girls and 16 boys. Of the girls, 5 have blonde hair and 9…

A: Given                                  Girls              Boys Blonde Hair               5…

Q: Given two urns: U contains 4 red and 6 green balls and V contains 5 red and 6 green balls. A ball is…

A: Define some events A : a red is selected from U B : a green ball ia selected from U. E : two balls…

Q: From a city population, the probability of selecting (i) a male or a smoker is 9/10, (ii) a male…

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Q: Suppose that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what…

A: We have given that p = 35% = 0.35 n = 8 Here we will use binomial distribution The PMF of the…

Q: In a class of 40 students, there are 20 girls and 20 boys. Eight are A students, and three of these…

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Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: Among a group of 28 stocks, suppose that 14 will perform above average and the other 14 will perform…

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Q: There are 3 urns as follows: Ballot box A contains 3 red balls and 5 white balls. Ballot box B…

A: Obtain the probability that the ball randomly drawn is red. The probability that the ball randomly…

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: what is the probability that the other side is colored black?

A: Our aim is to find the probability that the other side is colored black.

Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

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Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

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Q: A car rental agency at a local airport has available 5 Fords, 7 Chevrolets, 4 Dodges, 3 Hondas, and…

A: Given:  No of fords=5 No of chevrolets=7 No of Dodges= 4 No of Honda =3  PNonof Toy Toyota=4  Total…

Q: Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Given Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll

Q: A batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from as supplier…

A: Given: Parts from Batangas supplier of engine = 80 Parts from Bulacan supplier of engine = 120 Total…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: In an office complex of 1100 employees, on any given day some are at work and the rest are absent.…

A: Given information: The number of employees in the office is 1100. The number of employees working…

Q: A class contains 100 students, and each student belongs to one lab section. There are 3 lab…

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Q: Of 100 students, 24 speak French, 18 speak German, and 8 speak both French and German. If a student…

A: Let us denote F=French , G=German Given that n(F)=24, n(G)=18, n(F ∩ G)=8 Using the union formula:…

Q: ered 1-15, what is the probability that person 1 choosses a number strictly greater than the number…

A: As the numbers are from 1 to 15: and 4 groups contain the same numbers: Group 1 Group 2 Group 3…

Q: A small bag of M and Ms contains 7 green, 4 yellow, 5 blue, and 6 brown. If we randomly select a 1st…

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Q: Suppose that 40% of all voters prefer Candidate A. If 9 people are chosen at random for a poll,…

A: Solution: Let X be the number of people favor candidate A and n be the sample number of people. From…

Q: a batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from a supplier of…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are…

A: F denote Female M denote Male C denote Caviteno Total number of students = 30…

Q: What is the probability of selecting 2 material-preparation workers, 2 machine operators, and 2…

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Q: Suppose that 55% of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what…

A: Given : Let X : No. of  voters prefer Candidate A p=0.55 n=7

Q: Suppose that in an assortment of 6 calculators, there are 3 with defective switches. Draw with and…

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Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…

Q: In a strange farmer's market, you have to pick 1 fruit (at random, without looking) from each of 3…

A: Bag A contains 3 apples and 3 oranges.

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

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Q: Are gender and level of education of employees in this corporation statistically independent? e.…

A: Here use tree diagram

Q: Find the probability that in a class of 4 males and 10 females, exactly 1 male and exactly 1 female…

A: We have given that the random variable X that is colour blind follows binomial distribution. For…

Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

Q: In a batch of 1900 toys, there are, on average, 10 defective ones. If a random sample of 140 is…

A: Given: Total number of toys = 1900 Number of defective toys = 10 Number of toys selected = 140…

Q: Suppose that 35% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Probability that voters prefer Candidate A = 35% = 0.35 Sample size, n = 7

Q: In a large corporation, 80% of the employees are men and 20% are women. The highest levels of…

A: Probability is a branch of mathematics or statistics which basically deals with the chances or…

Q: contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles…

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Q: Consider 3 urns. Ballot box A contains 3 white balls and 8 red balls, ballot box B contains 9 white…

A: It is given that there are 3 ballot boxes, A, B, and C. The number of balls in each ballot box is:…