Question: An employer wishes to hire 3 people from group 15 applicants, 8 men and 7 women, all of whom are equally qualified to fill the position. If he selects the 3 at random, what is the probability that (i) all 3 will be men (ii) at least one will be a women? of

Q: A student organization list as its members 2 freshmen, 3 sophomores, 5 juniors, and 2 seniors. If a…

A: Solution: From the given information, there are 2 freshmen, 3 sophomores, 5 juniors and 2 seniors.…

Q: A box contains three coins: two regular coins and one fake two-headed coin (P(H) = 1), %3D • You…

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Q: A fair die is rolled once. What is the probability of rolling a six and an even number?

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Q: (ii) An experiment consists of drawing four cards at random from a pack of 52 playng cards, one at a…

A: 8 (ii) The cards are drawn with replacement. So, the probability of drawing a second card is…

Q: Example: Suppose it is known that in a certain population 10% of the population is color blind. If a…

A: Note: Please repost remaining subparts as i can answer only 3 subparts as per my policy.   Given…

Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: Example 1 : In a certain college, 25% of boys and 10% of girls are studying mathemat The girls…

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Q: 5) There are 19 boys and 13 girls in a Chemistry class. The teacher is randomly assigning students…

A: The provided information are: Number of boys = 19 Number of girls = 13 Total number of students =…

Q: Companies​ A, B, and C produce ​10%, 20​%, and 70​%, ​respectively, of the major appliances sold in…

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Q: 1. In a series of trials, you toss a pair of coins. What is the probability that on the 6th trial, a…

A: there are tossing a pair of coins together so the probability of getting two heads in single tossing…

Q: 21. QUESTION: In a certain town, 30% of the people are Conservatives; 50% Socialists; and 20%…

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Q: In the current first-year class of a community college, all the students come from three local high…

A: Given that Schools I, II, and III supply respectively 40%, 50%, and 10% of the students. The failure…

Q: 2. A shipment of 50 phone chargers contains 10 defective chargers. If 5 chargers are chosen at…

A: Given: Total number of chargers = 50 Total number of defective item = 10 Total number of…

Q: In a small, local factory in the State of Washington in 2019, assembly lines #1, #2, and #3…

A: Let A be event such that assembly line #1 produces the items. P(A) = 0.15 Let B be event such that…

Q: Work this problem involving rental cars with navigation systems. Assume that the car lot contains…

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Q: 7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue…

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Q: 3. A class in advanced physics is comprised of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given : Number of junior students = 10 Number of senior students = 30 Number of graduate students =…

Q: A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green…

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Q: 10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the…

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Q: A lot of 100 semiconductor chips has 20 defective chips. Two chips are selected at random, without…

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Q: 5. A cinema sells tickets for the opening of "Spider-Man: No Way Home" with 50 seats. From…

A: Given: x=  50 seats n = 55 The cinema knows that there is a 10% chance that a buyer of a ticket will…

Q: 10. A board of directors consists of 6 men and five women. A four-member search committee is…

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Q: An experiment consists of randomly selecting 3 coins, tossing it, and observing the outcome heads or…

A: Let the event of tossing first coin, second coin and third coin be A, B and C respectively. PHA=1.0…

Q: Example 3: A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls.…

A: Given that, Bag A contains 2 white and 3 red balls and bag B contains 4 white and 5 red balls.

Q: Example 8.27 A sub-committee of 6 members is to be formed out of a group consisting of 7 men and 4…

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Q: Country Club Activities At the Avonlea Country Club, 74% of the members play bridge and swim, and…

A: Given Information: At the Avonlea Country Club, 74% of the members play bridge and swim, and 84%…

Q: Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at…

A: Solution: From the given information, there are 6 vitamin tablets and 3 sugar tablets. Total number…

Q: A- In a certain factory, machines I, II, and III are all producing steel rods of the same length. Of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 17. A group of five people are selected at random. (Assume that a person is equally likely to be…

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

A: Let the random variable X denote the no. of physics majors belong to ethnic minorities and it…

Q: Example 8 : It has been found that 2% of the tools produced by a certain machine are defective. What…

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Q: This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets…

A: The box has 4 defective widgets and 8 acceptable widgets. So total (4+8)=12 widgets Probability of a…

Q: An elementary school is offering two optional language classes, one in French and the other in…

A: From provided information, an elementary school is offering two optional language classes, one in…

Q: A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4…

A: Given,n=4p=12    (probability of selecting traditional students)q=1-12=12A random variable…

Q: 3. A shopping website has a free section and a members-only section. When entering the members-only…

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Q: 7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue…

A: Solution

Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

Q: Based on student records, 25% of the students at a large high school have a GPA of 3.5 or better,…

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Q: Example 4: A class consists of 6 girls and 10 boys. If a committee of 3 is chosen at random from the…

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Q: Example 4: A manufacturer knows that the condensers he makes contain on average 1% defectives. He…

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Q: Example 37. (a) 4 tubes are selected at random from 20 tubes containing 5 defective tubes. Determine…

A: According to answering guidelines I can only answer 1 question.

Q: At a university with 1,000 business majors, there are 200 business students enrolled in an…

A: Given  Number of business majors at university =n(S) =  1000  n(A)= Number of business students…

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: 8. At a university with a total of 2,000 business majors, there are 500 business students enrolled…

A: Given that  Total business majors (n) = 2000 Students enrolled in an accounting course = 500…

Q: Two hundred people apply for two jobs. Sixty of the applicants are women. If two persons are…

A: The number of women applied for the job is 60 and the total number of people applied for the two…

Q: Example 15: Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.