A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 9 freshmen. Exactly 4 of the juniors are female, and exactly 5 of the sophomores are male. If two students are randomly selected from this dass, what is the probability that the pair consists of a male junior and a female sophomore? The probability is (Type an integer or a simplified fraction.)

Q: If a sample of 4 hammers is selected, find the probability that all in the sample are defective.…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: A pet store has 14 ​puppies, including 5 ​poodles, 5 ​terriers, and 4 retrievers. If Rebecka and​…

A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…

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A: The total number of hammers for shipment is 30. The  number of hammers in the shipment are defective…

Q: There are 250 brunet, 200 blond, 150 brown-haired, and 80 red-haired people. Find the probability…

A: Solution

Q: A factory received a shipment of 39 generators, and the vendor who sold the items knows there are 4…

A: There are 39 generators totally in which 4 generators in the shipment that are defective, then…

Q: Suppose Dan has 3 black hats, 5 blue hats, and 1 gray hat. He also has 6 black rings, 3 blue rings,…

A: Dan has 3 black hats, 5 blue hats, and 1 gray hat Total hats = 9 6 black rings, 3 blue rings, 4 red…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A:

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A: Given: P (F) = 0.50 P (S) = 0.20 P (J) = 0.10 P (RS) = 1 - 0.50 - 0.20 - 0.10           = 0.20 P (P…

Q: At a hot air balloon festival, Brooke made note of how many passengers were in each balloon and the…

A: Given,   Blue Yellow TOTALS 1 passenger 2 1 3 2 passenger 4 6 10 TOTALS 6 7 13

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: a large population, 68% of the people have been vaccinated. If 5 people are randomly selected, what…

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Q: Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. The…

A: Given that, Bowl contains 3 white, 4 yellow, 5 blue marbles. And Betty pics 4 random marbles.

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A:

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: For this problem, assume 7 males audition, one of them being George, 5 females audition, one of them…

A: Combination of x items from n observations can be defined  as Crn=n!(n-r)! . r!

Q: From a group of 3 freshmen, 4 sophomores, 4 juniors, and 3 seniors a committee of size 4 is randomly…

A:

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: 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: At a men's clothing store, 12 men purchased blue golf sweaters, 8 purchased green sweaters, 4…

A: GivenNo.of men purchased blue golf sweaters = 12No.of men purchased green sweaters = 8No.of men…

Q: At a certain hospital, 40 patients have lung cancer, 25 patients smoke, and 20 have lung cancer and…

A: Given: At a certain hospital 40 patients have lung cancer ,  25 patients smoke and  , 20 patients…

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

A:

Q: Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed.…

A:

Q: A bag contains 9 green marbles, 3 white marbles, and 4 red marbles. A marble is removed and then…

A: Solution: From the given information, a bag contains 9 green marbles, 3 white marbles and 4 red…

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A:

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.

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Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain…

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Q: A box has 11 marbles, 6 of which are white and 5 of which are red. A sample of 7 marbles is selected…

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Q: In 7 throws of a fair 6-sided die, what is the probability of getting an odd number on each throw?…

A: When a random experiment includes n number of trials and there are r number of success with…

Q: A mathematics department has 10 theoretical mathematics professors and 3 applied mathematics…

A: We have given that  A mathematics department has 10 theoretical mathematics professors and 3 applied…

Q: A survey of 8 students was taken regarding their favorite subject, food, and sport and the results…

A: Total students , n = 8   a. a student whose favorite sport is soccer and favorite subject is English…

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 financial services committee had 60 ​members, of which 8 were women. If 7 members are selected at​…

A:

Q: For this problem, assume 9 males audition, one of them being Roger, 4 females audition, one of them…

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Q: Suppose two players are playing a game and a fair die is rolled once to see who wins. **Leave all…

A: Given a fair die,Number of players = 2Player 1 win if a even number is rolled.Total even numbers…

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

A:

Q: Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random…

A:

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

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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

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A:

Q: Consider a collection of envelopes consisting of 3 red envelopes, 2 blue envelopes, 3 green…

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Q: high school class consists of 6 ​seniors, 10 ​juniors, 13 ​sophomores, and 3 freshmen. Exactly 4 of…

A: Solution

Q: At a certain hospital, 16 patients have lung cancer, 10 patients smoke, and 8 have lung cancer and…

A:

Q: A poll is given, showing 80% are in favor of a new building project. If 8 people are chosen at…

A: Given that, A poll is given, showing 80% are in favor of a new building project. Sample size, n = 8

Q: A bag of marbles contains 7 yellow marbles, 4 white marbles, 2 blue marbles, and 9 red marbles. A…

A: Solution: From the given information, a bag contains 7 yellow marbles, 4 white marbles, 2 blue…

Q: 1. If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Note: As per my policy i can answer only one question. kindly repost the remaining one Given data A…

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given:  8 freshmen, 5 sophomores, 4 juniors, and 2 seniors Total = 8+5+4+2 = 19

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.

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.