Suppose there are n independent trials of an experiment with kgreater than>3 mutually exclusive​ outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this​ situation? Choose the correct answer below.

Q: An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the…

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Q: Suppose that five normal populations have means μ1 = 175, μ2 = 190, μ3 = 160, μ4 = 200 and μ5 = 215.…

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Q: Assume that random guesses are made for six multiple choice questions on an SAT​ test, so that there…

A: This will follow the Binomial distribution where n = 6, p = 0.3. The indicated probability for the…

Q: If the expected number of occurrences in a given interval is v, then the probability that there are…

A: Given information: Pvn=vn·e-vn!

Q: Color blindness appears in 1% of the people in a certain population. How large must a sample be if…

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Q: µ±30

A: The average 1 person in 1000 makes a mistake for 10000 forms 10 will be an average numerical error.…

Q: Are whites more likely to claim bias? It was found thát 60% of the workers were white, 30% were…

A: Let, W- Event that the workers are white         B-Event that the workers are black         O- Event…

Q: Assume that random guesses are made for multiple choice questions on an SAT test, so that there are…

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Q: The probability with corresponding number of defects per lot of an electrical part are given as…

A: It is given that the maximum recorded number of defective items per lot of said electrical part is…

Q: Assume that random guesses are made for 88 ​multiple-choice questions on a test with 22 choices for…

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Q: When mean number μ of Atlantic hurricanes per year is given: μ=6 Find the probability that in a…

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Q: Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there…

A: GivenProbability of success or guessing correct p = 0.5total number of questions or number of trails…

Q: Suppose 60%of a large group of animals is infected with a particular disease. Let X be the number of…

A: Given p = 0.60 n = 5 X be the number of infected animals X ~ B(n, p) P(X=x)=Cxn px(1-p)n-x ;…

Q: assume that random guesses are made for eight multiple choice questions on an SAT test, so that…

A: According to the provided information, n=8 p=0.20

Q: Assume that random guesses are 7 mutiple-choice questions on a test with 5 choices for each…

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Q: Assume that random guesses are made for eight multiple choice questions on an SAT​ test, so that…

A: we want ti Find the probability that the number x of correct answers is fewer than 4

Q: What is the probability that the difference between the sample mean and the population mean will be…

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Q: Suppose that six cups of yogurt are selected at random. What is the probability that at least three…

A: For a random variable, X~B(n,p), the probability mass function is, P(X=x)=nCxpxq(n-x) ;…

Q: 6. Calculate the value of p if the ratio of the probability of an event happening exactly r times in…

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Q: Assume that random guesses are made for six multiple choice questions on an SAT​ test, so that there…

A: Givenn=6p=0.4x~Binomial(n=6,p=0.4)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,...,n

Q: Assume that random guesses are made for eight multiple choice questions on an SAT​ test, so that…

A: Obtain the probability that the number x of correct answers is fewer than 4.   The probability that…

Q: Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that…

A: It is given that X ~B(7,0.25).The PMF of binomial distribution is given by,

Q: Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that…

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Q: Assume that a procedure yields a binomial distribution with nequals 7   trials and a probability…

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Q: A Discrete Mathematics Quiz has 10 multiple choice questions with four choices at which only one…

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Q: The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass…

A: As per our company guidance expert have to answer first three supports only dear student please…

Q: 59% of students entering four-year colleges receive a degree within six years. Is this percent…

A: The random variable students who play intramural sports follows normal distribution. We have to test…

Q: Suppose that a machine performs n independent number of trials in the making of bulbs. Each trial…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: Osu-trace is a university program that employs random Covid-19 testing of students and faculty on a…

A: Let x be the random number of tests by the program in any given week which follows binomial…

Q: A multiple-choice test consists of 10 questions. Each question has answer choices of a, b, c, and d,…

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Q: What is the probability that: (Express answers to 4 decimal places) c) between 6 and 11 of the…

A: Let p be the probability that a person who had coronary bypass surgery in 2008 were over the age of…

Q: Assume that random guesses are made for eight multiple choice questions on an SAT​ test, so that…

A: Let x follows binomial distribution with parameters n = 8 and p =0.4   The pdf of binomial…

Q: Among a large group of patients recover-ing from shoulder injuries, it is found that 22% visit both…

A: Among a large group of patients recovering from shoulder injuries, it is found that 22% visit both a…

Q: At a bakery, a customer with a purchase amount of under $20 has a probability of 0.35 of using a…

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Q: assume that random guesses are made for multiple choice questions on an sat test, so that there are…

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Q: The reaction of an individual to a stimulus in a psychological experiment may take one of two forms,…

A: a) The confidence level is 90%. Therefore, α = 0.10, α/2=0.05 and 1- α/2=0.95. Thus, zα/2 =1.645…

Q: When a man observed a sobriety checkpoint conducted by a police​ department, he saw 656 drivers were…

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Q: Suppose you are taking a multiple-choice test with c choices for each ques- tion. In answering a…

A: Given  In answering a question on this test, the probability that you know the answer is P. If you…

Q: The personnel director of a manufacturing company wants to estimate the average mechanical aptitude…

A: Here, E = 2, σ=15, and p=0.99.

Q: Assume that random guesses are made for ninemultiple choice questions on an SAT​ test, so that there…

A: Given datan = 9p= 0.4Applying Binomial theoremProbability of x success out of n trial is given by

Q: For a sample of n = 36, find the probability of a sample mean being less than 12,749 or greater than…

A: Given: n=36μ=12,749σ=1.4

Q: If 825 random digits are taken from a random number table: (a) What is the approximate probability…

A: We have to answer basic probability questions.

Q: Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that…

A: From the given information, the number of multiple choice questions n = 7. Let X be event that the…

Q: The probabihity of winning a prize in a game of chance is 0.48. What is the least number of games…

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Q: For a certain instant lottery game, the odds in favor of a win are given as 61 to 39. Express the…

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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.