In your own words, define a random variable.

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: What is a random experiment

A: To Discuss: What is a random experiment ?

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 The number of female students is 20. The total number of students…

Q: Given that a random person just tested positive, determine the probability of having this illness.

A: Here use tree diagram

Q: Why can’t all the probabilities for a Poisson random variable be displayed in a probability…

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

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Q: What is the probability of picking one person who is 30 years and above given that he reads non…

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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: Is the following a Probability Distribution?

A: Random variables are of two types, discrete and continuous. A discrete random variable can only take…

Q: GreenFacts, a non-profit organization,reports that the average adult in Europe consumed 17 litres of…

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Q: It is known that a certain drug causes side effects in 10% of patients. If we consider a random…

A: Let, X= number of patients who have the side effect  Given that probability of success= p= 10%=0.10…

Q: Choose and explain one (1) probability sampling, then provide an example for it.

A: A Simple Random Sampling is type of probability sampling. It is the technique in which the sample is…

Q: What is the probability that there are two flaws in 5 square meters of cloth?

A: Let X denote the number of flaws per 5 square meters of cloth. Then X follows Poisson distribution…

Q: The best way to determine if a statistical hypothesis is true is to examine a random sample from the…

A: Statistical hypothesis - Statement regarding nature of population * it stated in terms of population…

Q: According to the information in the table, what is the probability that a randomly chosen US adult…

A: here given approximate probability of marital status categories for adult in the united states '

Q: What is a random variable?

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

Q: Explain the two different types of random variables?

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Q: What is the probability that a randomly Green purchase is a female?

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Q: If a load can be modeled as a uniform random variable ranging from 70 to 226, what is the…

A: Given that,  A load can be modeled as a uniform random variable ranging from 70 and 226.

Q: Does the following table represent a legitimate probability distribution?

A: The values of X are discrete, they are possible values of X.  Then we check the total probability.…

Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

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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 a random sample?

A: Here use definition of random sample

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: What is the probability of having no errors on a page?

A: Poisson distribution is a discrete probability distribution . It is the most widely used .

Q: If the estimated mean of crashes at intersection is 10, what is the probability of having 5, 10 and…

A: Given the estimated mean of crashes at an intersection is; μ=10 Let, X = The number of crashes next…

Q: What is the chance the person you just swiped right is divorced?

A: We have given that the data of a person’s life status like never married, married, widowed, divorced…

Q: What is a subset of a population called?

A: Answer: Subset of a population is called a sample.

Q: If one normal stapler selected randomly from the factories, find the probability when it comes from…

A: here define events and draw probability tree stapler produce by china Factory = C stapler produced…

Q: What is the probability that the next person surveyed is very prepared?

A: It is given that Frequency for Very prepared = 247 Total = 247+982+546+341+76 = 2192

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 probability the pedestrian was not intoxicated

A: Given data The table summarizes results from 990 pedestrian deaths   Driver  intoxicated?…

Q: What is the probability of getting white?

A: Given: The square box containing 12 small squares. Number of white squares =7 Number of yellow…

Q: Why can we consider the sample mean in random samples of size n from a given population to be a…

A: We consider the sample mean in random samples of size n from a given population to be a random…

Q: If a researcher uses random sampling, the sample will definitely be representative of the…

A: Solution: The given statement is “If a researcher uses random sampling, the sample will definitely…

Q: If the mean of the following probability distribution is 3.44, what is the variance?

A: Given : Mean = E(X) = 3.44

Q: USA Today reported that about 22% of all people in the United State are illiterate. Suppose you…

A: Let X be the people who are illiterate. Let person being illiterate be success, then X follows…

Q: What is the probability of a random student being chosen who is a female and is not between the ages…

A: Given,          PM=0.60          PAge 18 and 20=0.35          PM and Age 18 and 20=0.26…

Q: A letter is taken at random out of "ASSISTANT" and out of "STATISTICS". What is the chance that they…

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Q: What is the probability of selecting one person at random who is Female and Married?

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Q: The reason why samples are selected at random is

A: We know that  Random sampling :  Selecting a sample randomly from the population . By selecting…

Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

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Q: In your own words, use an example to explain what a random variable is.

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Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: A Gallup poll found that 73.2% of people in the US believe in hell. What is the probability that a…

A: Given that  A Gallup poll found that 73.2% of people in the US believe in hell  P(Believe in hell) =…

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

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Q: Define random variations?

A: The question is about time series analysis Introduction : Time Series : It is a statistical…

Q: It is believed that 42% of American cell phone users have some version of an iPhone. If a random…

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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.