In a group of 15 people 5 can speak german. If 3 people are selected at random to be sent on a mission in Germany. What is the probability that 2 will speak german?

Q: If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen,…

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Q: In a random group of 5 individuals, what is the probability that at least two of them have the same…

A: We have given that the group of 5 individuals.

Q: If a person randomly picks 4 of the 15 gold coins adealer has in stock, and 6 of the coins are…

A: Given , No of gold coins n=15No of random picks r=4P6 coins are counter feits=?

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: In a family of 11 children, what is the probability that there will be more boys than girls?

A: Given: Number of children in the family n=11

Q: If one card is randomly chosen from a standard deck, what is the probability that a black 7 is…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: In a large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: He can select 5 numbers from 45 numbers in 45C5=1221759 ways He can select a number from 32 numbers…

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

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Q: If you pick one card at random from a standard deck of 52 cards, what is the probability it will be…

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Q: A group of people were asked if they owned a dog. 121 responded "yes", and 400 responded "no". Find…

A: According to the provided information, A group of people was asked if they owned a dog. 121…

Q: If 5 persons are to be seated in a round table, what is the probability that a certain boy and girl…

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Q: In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Sample size (n) = 5 p(people have been vaccinated) = 0.69 Formula: Let "X" be the people that…

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: Suppose that 49% of people own dogs. If you pick two people at random, what is the probability that…

A: The probability that the people own dogs is 0.49.

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

A: A card is randomly selected from a well-shuffled standard deck of 52 cards.

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A: Given that Group of 103 students 34 are diploma level and 22 are bachelor level Now, the number of…

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: A class consists of 23 women and 31 men. If a student is randomly selected, What is the probability…

A: Given data, No of Men=31 No of women=23 Total no of students=23+31= 54 P(Student is man)=?

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: If an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

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Q: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: A jar contains four red marbles, five green marbles, and three blue marbles. If one marble is…

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Q: Of 100 job applicants to the United Nations, 20 speak French, 30 speak German, and 14 speak both…

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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 100 students, 80 study Physics, 90 study Math and 5 study none of the subjects. What…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

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Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: Note: The number of white balls is considered as 42 and number of gold balls considered as 33. It…

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

A: GivenPercent of students have a smartphone = 78%percent of students have a smartphone and a tablet =…

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

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Q: If one card is randomly chosen from a standard deck, what is the probability that a 6 or a diamond…

A:

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be…

A: According to formula of combination, the number of ways to select r objects from n objects is equal…

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: Suppose that 28% of people own dogs. If two people are randomly selected, what is the probability…

A: Given that 28% of people own dogs. Sample size, n = 2

Q: An urn contains 40 red balls, 30 green balls, 25 blue balls, and 10 yellow balls. If Alicia randomly…

A: Given, A urn contains 40 red balls, 30 green balls, 25 blue balls and 10 yellow balls. Probability =…

Q: Give that a standard deck of cards contains 52 cards, if you select a single card at random from a…

A: Given data: n(S)=52   Let A be the event of an even number of Spade n(A)=5

Q: A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of…

A:

Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…

Q: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

A: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50

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.