Two hundred people apply for two jobs. Sixty of the applicants are women. If two persons are selected at random, what is the probability that only one is a woman

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A:

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

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: 77% of all students at a college still need to take another math class. If 38 students are randomly…

A: Given data, n=38 p=77%=0.77 P(X=30)=?

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given, Number of freshmen player, n(freshman)= 13Number of sophomores player, n(sophomores) =…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: In one town, 52% of all voters are Republicans. If two voters are randomly selected for a survey,…

A:

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20%                                         p =…

Q: 63% of all Americans are home owners. If 37 Americans are randomly selected, find the probability…

A:

Q: There are 100 balls in a hat. 25 of them are red and 75 of them are black. If one ball is drawn…

A: Answer: From the given data, Total number of balls in a hat = 100 Number of red balls = 25 Number of…

Q: Each of the two friends tosses an unbiased coin ten times. What 1s the probability that each one…

A: Given Each of the friends tosses an unbiased coin ten times. Let X be the number of getting heads,…

Q: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

Q: Jaco has a list of 90 data science students, 20 of whom are female and 70 of whom are male. He then…

A: Solution: From the given information, total number of data science students is 90. Out of whom 20…

Q: A  class consists of 18 women and 15 men. If a student is randomly selected what is the probability…

A: Given information: Number of women in class is, w = 18 Number of men in class is, m = 15 A student…

Q: Suppose that 37% of people own dogs. If you pick two people at random, what is the probability that…

A: From the given information, it is clear that   The probability that people owns the dog=0.37.…

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: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: The team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors.

Q: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: In a large population, 66% of the people have been vaccinated. If 3 people are randomly selected,…

A: It is given that n =3, p = 0.66.

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.