In a certain Algebra 2 class of 28 students, 23 of them play basketball and 12 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Q: In a certain community, 35% of the families own a dog, and 20% of the families that own a dog also…

A: Let us denote D= dog owners C= cat owners Given that P(D)=35%=0.35, P(C|D)=20%=0.20, P(C)=37%=0.37

Q: 2. The manager of a store buys portable radios in lots of 12. Suppose that, on average, 2 out of…

A: Given, Number of samples =12 and 2 out of each group of 12 are defective To find: The probability…

Q: What is the probability that a randomly selected registered voter from County A voted in the recent…

A: Let us define some events A : the voter is Democrat. B : the voter is Republican. C : the voter is…

Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

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

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Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

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Q: In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and 25%, respectively,…

A: D = defective  b1=0.30 b2 0.45 b3 =0.25 db1 =0.02 d/b2=0.03 d/b3=0.02

Q: In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball.…

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Q: In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them play baseball.…

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Q: In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play…

A: In the class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14…

Q: In a large hospital, suppose that 35% of patients suffer from disease A, 40% of patients suffer from…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: In a class, 40% of the students offered Statistics, 30% offered Mathematics, and 20% offered both.…

A: Let us define the event. A: The student offered the Statistics. B: The student offered the…

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: At a certain high school, 50% of the lents are enrolled in a Spanish class and o are enrolled in a…

A: Given that P(students are enrolled in a Spanish class)=0.50 P(students are enrolled in a French…

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

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Q: In a certain residential suburb, 60% of all households get internet service from the local cable…

A: Here the given information,Let A: households get- internet service from the local cable company.…

Q: In a class of 40 students, 22 students like mathematics, 20 students like science, and 8 students…

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Q: In a certain school, 30% of the student body is taking a biology class. Of the biology students, 35%…

A: Given; P(biology class)=30%=0.3 P(other science class)=1-0.3=0.7 P(B in the class/biology…

Q: In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball.…

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Q: In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball.…

A: Total number of students in class= 29 Number of students who play basketball=8 Number of students…

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain…

A: Given information, p=0.3 q=0.70 Consider, the expected number of winning is, Ex=1p      =10.3…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…

Q: A player is dealt two cards from a 36-card deck, where half the cards are black and the other half…

A: Given information: Total number of cards in the deck is n(S) = 36. The number of red cards in the…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: From the given information, In the population of 10,000, there are 5000 nonsmokers, 2500 smokers of…

Q: Consider the type of clothes dryer (gas or electric) purchased by each of five different customers…

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Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

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Q: In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball.…

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Q: 3. The probability of rain on any day in the month of April is 24%. The probability that it will be…

A: Let us denote R= rainy and W= windy  Given that: P(R)=24%=0.24  P(W)=38%=0.38 P(R and W)=10%=0.10…

Q: Presumably, each student writing this examination is doing so independently of all other students.…

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Q: In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball.…

A:

Q: In a certain community, 20% of the families own a dog, and 20% of the families that own a dog also…

A: Let us denote D= dog owner C=cat owner   Given that, P(D)=20%= 0.20 P(C|D)= 20%=0.20 P(C)=34%=0.34

Q: There is a 0.39 probability that John will purchase a new car, a 0.73 probability that Mary will…

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Q: Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

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Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled…

A: Let define the events: A = students are enrolled in a psychology course B = Students are enrolled in…

Q: In a given​ year, 2,113,333 males and 2,035,387 females were born in a certain country. If a child…

A: It is given that, there are 2,113,333 males and 2,035,387 females in a century.

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball.…

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Q: If the student attends class on a certain Friday, then he is four times as likely to be absent the…

A: Given : State 1 : Attend class State 2 : Absent from class

Q: Find the probability that in a class of 4 males and 10 females, exactly 1 male and exactly 1 female…

A: We have given that the random variable X that is colour blind follows binomial distribution. For…

Q: 1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a…

A: Hint: The addition rule for any two mutually exclusive events X and Y states that the probability…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A:

Q: A pack of 20 flash drives contains 3 defectives.  If 3 items are drawn without replacement, find the…

A:

Q: In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball.…

A: Solution

Q: In a certain Algebra 2 class of 27 students, 11 of them play basketball and 9 of them play baseball.…

A: Given that  Total students = S= 27 Play basketball= A = 11 Play baseball = B = 9 Play neither sport…

Q: In a certain Algebra 2 class of 24 students, 6 of them play basketball and 7 of them play baseball.…

A: The number of students play basketball is 6 and the number of students play baseball is 7.

Q: F- Female $688 G- Male $1000 H- Male $892 1. Ifall the salaries were written on separate pieces of…

A: (1) Obtain the probability that the one that drawn is over $650. The probability that the one that…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Consider the provided question, The transition matrix according to the given data is written as,…

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Consider an event A defines that main parachute deploys and event B defines that backup parachute…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Let us write the data in Matrix form   Non-Smokers Smokers 1pack/day or less more than 1pack/day…

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.