300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions. Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat. What is P(D), the probability that a student in the class has a dog? What is P(C), the probability that a student in the class has a cat? What is P(D and C), the probability that a student in the class has a dog and a cat?

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 football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: #let x be the nonof match end with tie with probability p=0.2 follow binomial distribution…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: The solution was incorrect.  At a community center, 200200 members are asked if they own a bike and…

A: Here the given table is

Q: Let A represent cat ownership and B represent dog ownership. Suppose 35% of households in a…

A: Conditional probability is an important concept in probability theory that involves calculating the…

Q: You own 17 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that…

A: The total number of CDs. are n=17. The number of CDs. needs to arrange r=6

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: A fair die is rolled seven times. Calculate the probability of obtaining exactly two 3s.

A: here given ,  fair die is rolled 7 times  n=  7 here for fair die , possible Outcomes 1,2,3,4,5,6…

Q: A group of people were asked if they had run a red light in the last year. 203 responded "yes", and…

A: The number of people, who responded to have run a red light, i.e., the number of responses in terms…

Q: In a class of 37 students, 17 are taking an AP test, 15 are taking an IB test and 6 are taking both.…

A:

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: Waiting times for customers in an airline reservation system are (in seconds) 953, 955, 948, 951,…

A: Data953955948951957949954950959

Q: A group of people were asked if they had run a red light in the last year. 423 responded "yes", and…

A: Step 1: Identify the given valuesnumber that ran a right light = number that said "yes" = 423number…

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: A test was given to a group of students. The grades and gender are summarized below A B C Total Male…

A:

Q: A B C Number of boys 6 5 3 Number of girls 10 3 1 Given that a student is not chosen in group A,…

A: iven Information   A B C Total Number of boys 6 5 3 14 Number of girls…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 type A​ balls, 4 type…

A: Total number of balls=6+4+3=13

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Given, The probability of a student taking a strength training gym class(P(A))=0.90 The probability…

Q: Of the cartons produced by a​ company, 9​%have a​ puncture, 3​% have a smashed​ corner, and 0.5​%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: In a group of children the probability a child had black hair is 0.7. The probability that a child…

A: We have given that  P( black hair ) = 0.70 P( brown eyes ) = 0.55 P( black hair or brown eyes ) =…

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: in a given week a veterinarian treated 50 dogs 40 cats 10 birds 20 rabbits. Whats the probability…

A:

Q: A circle of friends consist of 10 individuals. 3 of them likes chocolate, 2 likes 1 point strawberry…

A: 10 individuals such that 3 like chocolate, 2 like 1 point strawberry and 5 like vanilla The number…

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: The data related to cell phone users is given.

Q: A test was given to a group of students. The grades and gender are summarized below   A B C Total…

A:

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.