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

A: The probability that the student got a 'C', given that they are male= P[The student is male and got…

Q: Delta Airlines' flights from Chicago to Seattle are on time 50 % of the time. Suppose 11 flights are…

A:

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

A: The number of students got B grade is 23. The number of students is female and got grade B is 6.

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: If 4% of the population is color-blind, what is the probability that a group of 30 people, at least…

A:

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 a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: A survey, conducted by a student org, was performed on the class of 100 students, the information…

A:

Q: If one student is chosen at random from those who took the test, Find the probability that the…

A:

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: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: Use the following information to answer the following question. A bag contains 12 red marbles, 15…

A: Given info: A bag contains 12 red marbles, 15 yellow marbles, 10 green marbles, and 3 black marbles.…

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

A: Probability is the mathematics of chance and luck. It has multiple real-world applications from…

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

A: Given the test result of a group of students. The grades and gender are summarized as Gender A B…

Q: Use the following information to answer the following question. A bag contains 12 red marbles, 15…

A: General formula of probability is ,    Probability = Number of favorable outcomes Total outcomes

Q: Use the following information to answer the following question. A bag contains 12 red marbles, 15…

A: General formula of probability is ,   Probability =Number of favorable outcomesTotal outcomes

Q: One bag contains 5 red balls and 4 black balls, and a second bag contains 4 red balls and 6 black…

A:

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: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

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: American Airlines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 12 flights…

A: Given that  n=12 , p=90%=0.90 , q=1-p=1-0.90=0.10 X~Binomial(n=12,p=0.90) X=Number of flights on…

Q: college students were surveyed to check what they favored between basketball, football or baseball.…

A: Given,   Basket ball Foot ball Base ball Total Male 22 40 15 77 Female 45 12 16 73 Total 67…

Q: For a story she is writing in her high school newspaper, Grace surveys moviegoers selected at random…

A: There are two categorical variables which are rating and age. Rating has 2 types which are thumbs up…

Q: A physics class has 50 students. Of​ these, 10 students are physics majors and 15 students are…

A:

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

A: Total number of students = 75

Q: According to Chebyshev's theorem, at least 88.9% of the data falls between approximately 47.62 and…

A: (5)

Q: A survey is conducted about 15% of the people have hearing trouble in Texas.A sample of 111 people…

A: The population proportion is 15%. That is, p=0.15 and sample size is 111. Condition:…

Q: One bag contains 5 red balls and 4 black balls, and a second bag contains 4 red balls and 6 black…

A:

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

A: P(A|B) = P(A∩B)P(B)

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: A physics class has 40 students.  Of these, 17 students are physics majors and 15 students are…

A: Given ,A physics class has 40 students . 17 students are physics majors15 students are female .So…

Q: American Airlines' flights from Denver to Seattle are on time 80 % of the time. Suppose 12 flights…

A: The random variable X follows binomial distribution. X follows binomial distribution of n and p. The…

Q: class of 40 students, 27 like Calculus and 25 like Chemistry. What is the probability hat a student…

A:

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

A: Given information- We have given a table that summarizes grades of students and their gender. If one…

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…

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.