Assume that there are 15 cars: 10 Chevrolets, 4 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions. (1) What is the probability that the Toyota leaves first? (2) What is the probability that the two cars which leave are Chevrolets? (3) What is the probability that the Toyota is the second car to leave? (4) What is the probability that the Toyota is the second car to leave given that one of the two cars is the Toyota? (5) What is the probability that a Ford is the last to leave given that the Toyota leaves first?

Q: Suppose Emerson loses 39% of all ping-pong games. (a) What is the probability that Emerson loses two…

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Q: a social gathering, there are 21 men, 25 women, 10 boys and 12 girls. If you randomly choose

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: A bag contains 9 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at…

A: Obtain the probability that all marbles are red.   The probability that all marbles are red is…

Q: Use a probability tree to answer the following. A jar contains 6 red marbles, 8 green marbles, and 5…

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Q: A bag contains 10 red marbles, 7 white marbles, and 8 blue marbles. You draw 3 marbles out at…

A: GivenNo.of red marbles=10No.of white marbles = 7No.of blue marbles = 8Total no.of marbles = 25

Q: A class has 12 boys and 4 girls. If three students are selected at random from the class, what is…

A: Given data, Number of boys in a class =12 Number of girls in a class =4 Total number of students…

Q: One of two archers – Jeff or Tom – is chosen at random (with equal probability) to shoot at a…

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Q: A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as…

A: As per given by the question, find the probability that the first 3 parties of the night are all…

Q: The problem claims that 67% of the rural population has access to the power grid. If a sample of 10…

A: To find the probability that 8 can actually connect to the power grid of rural families.

Q: A box contains 10 red, 6 blue, and 4 green marbles.  Withdrawing 2 marbles at random without…

A: According to the given information, we have Number of red marbles = 10 Number of blue marbles = 6…

Q: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: A bag contains 6 red marbles, 9 white marbles, and 7 blue marbles. You draw 5 marbles out at random,…

A: Given,no.of red marbles=6no.of white marbles=9no.of blue marbles=7total no.of marbles=22

Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks. If 6 rocks are selected…

A: Given  A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks. Hence total rocks…

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: restaurant, which has ten entrees on the menu. If the friends are equally likely to pick any of the…

A: Given: Six friends go to their favorite restaurant, which has ten entrees on the menu To find:…

Q: Here is a partially finished tree diagram showing the political parties of local government…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

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

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Q: classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the…

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Q: Use a probability tree to answer the following. A jar contains 5 red marbles, 7 green marbles, and 9…

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Q: At an animal shelter, 60% of all animals are dogs and the remainder are cats. 30% of the dogs are…

A: Given ,  P( Dogs ) = 0.6 P( Cats ) = 1 - 0.6 = 0.4  P( female | Dogs ) =  0.3 P( female | Cats ) =…

Q: poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at…

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Q: In a casino game, two balls are chosen randomly from a box containing 8 white, 4 black, and 2 orange…

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Q: In a school band, 9 kids play string instruments, 10 kids play woodwind instruments, 7 kids play…

A: We have given that   kids play string instruments = 9  kids play woodwind instruments = 10  kids…

Q: child randomly arranges 6 different books on her bookshelf. What is the probability that the cat in…

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Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: In a population, 1% of the people have a certain disease. There is a 99% chance of a person who has…

A: We have to find given probabiity using tree diagram.

Q: a) In a particular high school, there are 10 Math teachers. The principal wants to form a committee…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

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Q: Player 1 tosses N + 1 times a fair coin and player 2 tosses N times a fair coin. Player 1 wins the…

A: It is given that , player 1 tosses the coin N+1 times and player 2 tosses the coin at N times. Part1…

Q: 3) Box I contains 3 red and 2 blue marbles, and Box II contains 2 red and 8 blue marbles. A coin is…

A: Box 1 contains:  Red marbles: 3 Blur marbles: 2 Box 2 contains:  Red marbles: 2 Blue marbles: 8…

Q: In a survey conducted by Health Ministry on prevalence of diabetes disease among senior citizens,…

A:

Q: A shopping mall has four entrances, one on the North, one on the South, and two on the East. If you…

A: Given: A shopping mall has four entrances, one on the North, one on the South, and two on the East.…

Q: A bag contains 6 red marbles, 9 white marbles, and 7 blue marbles. You draw 4 marbles out at random,…

A:

Q: In a certain high school, 54% of the students are female, 46% of the students are male. If you…

A: Given data   In school 54% are female students and 46% are male students you select one student at…

Q: A bag contains 6 red marbles, 7 white marbles, and 9 blue marbles. You draw 5 marbles out at random,…

A:

Q: A bag contains 8 red marbles, 5 white marbles, and 7 blue marbles. You draw 4 marbles out at random,…

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Q: A bag contains 8 red marbles, 10 white marbles, and 6 blue marbles. You draw 3 marbles out at…

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Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

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Q: A bag contains 10 red marbles, 7 white marbles, and 5 blue marbles. You draw 5 marbles out at…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: A bag contains 5 red marbles, 9 white marbles, and 5 blue marbles. You draw 3 marbles out at random,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A bag contains 5 red marbles, 7 white marbles, and 8 blue marbles. You draw 5 marbles out at random,…

A:

Q: In a tank containing 10 fishes, there are three yellow and seven black fishes. We select three…

A: Hypergeometric distribution is given by

Q: ersonal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the…

A: The formula for conditional probability is, P(A|B)=P(A∩B)P(B)⇒P(A∩B)=P(A|B)*P(B) The formula for…

Q: In a class of 23 students, 18 are female and 7 have an A in the class. There are 5 students who are…

A: First, we'll create a table for the given data,   Female Male Total Class A 5 2 7 Other  13 3…

Q: A bag contains 10 red marbles, 10 white marbles, and 6 blue marbles. You draw 4 marbles out at…

A:

Q: A bag contains 9 red marbles, 9 white marbles, and 7 blue marbles. You draw 5 marbles out at random,…

A: Given 9 red marbles 9 white marbles 7 blue marbles Total of 25 marbles 5 marbles are drawn without…

Q: Heinrik rolls two 6 sided dice at the same time. one die has three red sides and three black sides.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given:  8 freshmen, 5 sophomores, 4 juniors, and 2 seniors Total = 8+5+4+2 = 19

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.

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.