Out of the 125 children at summer camp, 45 signed up for swimming, and 38 signed up for arts and crafts.  Twelve students who signed up for swimming also signed up for arts and crafts. If a child is randomly selected, what is the probability that they are signed up for swimming if it is known that they did not sign up for arts and crafts?

Q: This problem involves students who have taken Calculus in high school. Assume that 15 percent of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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: In a survey in a rural area, it is found that 32% of families from a barrio owns a milking cow and…

A: Given: Family owns a milking cow, P(A)=0.32. Family owns a poultry, P(B)=0.41. Family owns both,…

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

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: 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: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

A:

Q: In a Toyota factory, 137 out of 129,000 cars have faulty brakes. If 50 cars checked at random, what…

A:

Q: A sociology teacher asked her students to complete a survey at the beginning of the year. One survey…

A:

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

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

A:

Q: According to a recent survey approximately 68% of students at this campus are women. A group of 20…

A: Solution: Let X be the number of students are women and n be the sample of students. From the given…

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

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: the school are female. Of ride. Of the males, 54% Brentwood student at udents gets a ride to

A: E1: Male   P(E1) = 0.48 E2: Female  P(E2) = 0.52 A: Walk to School P(A|E1) = 0.54 P(A|E2) = 0.4

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: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

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: 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: Six percent of American adults are considered millionaires. If 100 randomly selected adults are…

A: Here it is given that 6% of American adults are millionaire. We need to find the probability of 7 or…

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: This problem involves students who have taken Calculus in high school. Assume that 25 percent of…

A:

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: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

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: My friends owns 21 tapes. I want to help her randomly arrange 10 of them in a tape rack. What is the…

A: Given data my friend owns 21 tapes. I want to help her randomly by arranging 10 of them in tape…

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

A:

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

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.