Compound Random experiment: Flip a penny, draw a marble from a bag containg 3 red, 5 orange, and 2 green marbles. Draw the tree diagram to represent this compound random experiment. List the sample space. Compute the probabilities for each of the atomic events of the sample space. Event A = { Red marble and head on a penny or green marble tail on penny} Event B = { orange or green marble and head or tail on the penny} Calculate: p(A), p(b), p(A union B), and finally determine if they are independent events.

Q: A psychology class consists of 28 males and 52 females.  If the professor selects names from the…

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Q: About 60% of babies born with a certain ailment recover fully. A hospital is caring for five babies…

A: From the given information, it is clear thatLet X denotes the number of babies recovering fully from…

Q: Two test parts are mixed in with a box of 25 good parts. Probability of randomly selecting one of…

A: We have given a box of 25 good parts.Two test parts mixed with 25 good parts inside the boxSo,Total…

Q: About 10% of babies born with a certain ailment recover fully. A hospital is caring for seven babies…

A: About 10% of babies born with a certain ailment recover fully.A hospital is caring for seven babies…

Q: Suppose 3 ​quarters, 3 ​dimes, 9 ​nickels, and 6 pennies are in a box. One coin is selected at…

A: Using the given data we make a table: Coin(amount in cent) (xi) quarter(25) dime(10) Nickels(5)…

Q: What is the chance of Nathan, Brad and Amy being on the same team? (b) What is the chance of Kelsey,…

A: Here given, Nathan, Kelsey, Cindy, Brad, Amy and Maggie want to play a game. This game has three…

Q: The accompanying table describes results from groups of 8 births from 8 different sets of parents.…

A: It is given that there are total 8 births from 8 different set of parents. Thus, the probability…

Q: a large population, 68% of the people have been vaccinated. If 5 people are randomly selected, what…

A: Given data, 68% of the people have been vaccinated p=0.68 If 5 people are randomly selected, n=5…

Q: Compound Random experiment: Flip a penny, draw a marble from a bag containg 3 red, 5 orange, and 2…

A: From given data : 3 red marble  5 orange marble 2 green marble  total 10 marble

Q: A 4-sided die can be used to select a number at random from the numbers 1, 2, 3, 4.  Suppose you…

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Q: A kindergarten class has five left-handed children and thirteen right-handed children. Two children…

A: Given Total children =N=5+13=18 No.of left handed =5 No of right handed=13

Q: A kindergarten class has four left-handed children and twelve right-handed children. Two children…

A: Given: Let X = the number who are left-handed. Class has four left-handed children and twelve…

Q: About 30% of bables born with a certain ailment recover fully. A hospital is caring for seven babies…

A: Let X be the random variable such that number of  babies born with a certain ailment recover n:…

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: About 50% of babies born with a certain ailment recover fully. A hospital is caring for seven babies…

A: i) Yes, this is a binomial distribution. ii) The success in this experiment is the baby's recovery.…

Q: Suppose that a satellite defense system has 3 satellites that operate independently.  Each satellite…

A: It is needed to determine the probability distribution for the random variable X.

Q: observed.  How many outcomes are in the sample

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Q: lorida lotto game is typical of states lotteries. You must select seven different numbers between…

A: As the order is not important, we will use combinations. Given: You must select seven different…

Q: In some city, 50% of the eligible voters prefer candidate A, 40% prefer candidate B, 10% have no…

A: 1. It is given that, 50% of the eligible voters prefer candidate A and 12 eligible voters are…

Q: experiment?

A: Given Data: Percentage of babies recovered fully = 40% Total babies in the hospital = 7 Let the…

Q: An experiment consists in asking 8 people whether they have a college degree, and counting the…

A: Let 0 represents that the individual, answer that they do not have the degree, while 1 represents…

Q: Dominique, Clarice, and Marco work for a publishing company. The company wants to send two employees…

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Q: Is the experiment a binomial experiment? OYes O No What is a success in this experiment? This is not…

A: Given : Proportion of babies born with a certain ailment recover completely is 10% i.e Proportion…

Q: A factory produces light bulbs with a 2% defect rate. If a random sample of 100 light bulbs is…

A: Given:A factory produces light bulbs with a 2% defect rate that is p = 0.02n = 100

Q: Is the experiment a binomial experiment? O Yes No What is a success in this experiment? OBaby…

A: X is the number of babies that fully recover.X is a binomial random variable if it denotes bernoulli…

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.