Explain the two different types of random variables?

Q: a) Suppose that you have obtained data by taking a random sample from a population. Before…

A: It is an important part of statistics. It is widely used.

Q: What are the example of experiments or activities wherein we can apply the computation of…

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Q: Suppose the correlation between two random variables X and Y are 0. a. Must it be true that X and Y…

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Q: If the probability of mistakenly failing to reject the null hypothesis is 0.20, what is the…

A: A Type I error is when we reject a true null hypothesis. Lower values of α make it harder to reject…

Q: How do you determine the values of a random variable?

A: A random variable is a numerical description of the outcome of a statistical experiment. A random…

Q: Many economic and business measures such as sales, investment, consumption, costs, and revenues can…

A: Discrete Random Variable: A random variable is a variable which is countable in an infinite amount…

Q: In a research, a probability distrubution was obtained between the risk of injury in traffic…

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

Q: What does the power of a hypothesis test tell you? How is it related to the probability of making a…

A: Solution: It is required to mention what does the power of a hypothesis test tell you? How is it…

Q: Find the mean of the random variable.

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Q: Give a Proof That the Sample Variance Is Consistent?

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Q: Explain the importance of mean and variance of random variable in decision making

A: Mean of a Random Variable: The mean or expectation of a random variable X, denoted by E(X), is a…

Q: What is a random variable?

A: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.…

Q: How do you illustrate a normal random variable?

A: How do you illustrate a normal random variable?

Q: A coach has 6 players that will join track and field. The random variable that is being studied is…

A: Given Information: X 1 2 3 4 5 6 P(X) 0.40 0.24 0.19 0.1 0.05 0.02

Q: What are the criteria for an experiment to be a binomial experiment?

A: Let us consider the below example: A fair coin is flipped 10 times; X represents the number of…

Q: What is it meant by the term “parameter of a population”? Explain why a population can be…

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Q: A variable that measures the count of the number of successes when only two outcomes are possible is…

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Q: If X is a constant random variable and Y is any random variable. Are X and Y independent or not?…

A: Given X is a constant random variable Y is any Random variable f(x) = c f(y) = y If x and y are…

Q: What is the difference between the two types of random variables?

A: Random variables are those that assume numerical values determined by the outcome of an experiment.…

Q: A couple wishes to have children until they have exactly two female children in their family. What…

A: The couple wishes to have two girl child.So, r=2and the probablity of male child is 0.5=qSo, the…

Q: How do you know whether a random variable is continuous or discrete?

A: Discrete variable : It is countable. The discrete variables comes from counting number. It assumes…

Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: Since you have posted a question with multiple subparts we will solve first three subparts for you.…

Q: If a condition has a 30% prevalence, what is the expected number of cases in a random sample of 200?

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Q: In an experiment with 49 degrees of freedom, value was found to be 62-7. What is the chance that in…

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Q: Define the Mean and Variance of Sums of Random Variables?

A: The mean of a random variable X is a weighted average of the possible values that the random…

Q: Why is randomization the best method for dealing with extraneous variables?

A: Here we have to explain why randomization is the best method for dealing with extraneous variables

Q: What is the probability of landing in the shaded region?

A: In the given figure square of side length 40 ft is given, in which the circle is inscribed. Shaded…

Q: If the covariance between two random variables is equal to zero, this means the two random variables…

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Q: Two six-sided dice were rolled 20 times.Doubleswere rolled 4 times. What is the experimental…

A: In the given case There are a total 20 trials (n) that is 20 times the dice were rolled. The…

Q: Is it possible for a probability sample to be biased and to also lack independence? Please explain.

A: Probability sampling refers to the selection of a sample from a population, when this selection is…

Q: Suppose that a high school student is preparing to take the SAT exam. Explain why his or her…

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Q: What is the random variable for this question

A: Our aim is to state the random variable

Q: An exam consists of twenty multiple-choice questions. Each question has five different possible…

A: An exam consists of twenty multiple-choice questions. Sample size, n = 20  Each question has five…

Q: Give an example of two different random variables which have the same probability distribution (and…

A: 1) Considering a 6 face fair die  Let random variable X represents the outcome we get when we roll…

Q: The National Institute of Mental Health published an article stating that in any one-year period,…

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Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: 1. The symbol for the random variable involved in this problem is p^ (p-hat). Thus, the symbol for…

Q: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautious about…

A: Mathew is pleased to see a positive difference in the pilot sample, but Russell is cautiousabout…

Q: Scenario:Asking your classmates about their breakfast what is discrete random variable?

A: Discrete random variable taking the countable number of distinct values only like 0,1,2,3,.....etc.…

Q: How do you describe a discrete random variable?

A: A RANDOM VARIABLE IS A NUMBER GENERATED BY RANDOM EXPERIMENT RANDOM VARIABLES ARE OF TWO TYPES:…

Q: Explain what it means for two random variables to be independent, both mathematically and in…

A: In real world, we are surrounded with a lots of problems involving uncertainty. Random variables…

Q: What concept does the mean of a discrete random variable generalize?

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Q: describe what it means for two events to be statistically dependent

A: Two events are said to be dependent if the outcome of 1st event is influenced by the outcome of 2nd…

Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: Given information- Population proportion, p = 0.23 We have to test the claim that the data provide…

Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: Given that

Q: For a binomial random variable with a mean of 35 and 100 trials, what is probability of success on…

A: Given,n=100mean of the binomial distribution=35

Q: If X is a random variable, so is ∛X. Explain why .

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Q: Explain Probability Distribution of a Continuous Random Variable?

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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.