What is a discrete random variable?

Q: Approximate the mean of the random variable X based on the simulation for 25 games. hits

A: The sample size is 25.

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

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Q: The probability that a normal random variable is less than its mean is Multiple Choice 0.5 00 Cannot…

A: Introduction: Denote X as a normal random variable, with parameters, mean μ, and standard deviation…

Q: How do you graphically portray the probability distribution of a discrete random variable?

A: Probability Histogram: A probability histogram is the graph of a probability distribution that gives…

Q: How can we use discrete random variables in statistics?

A: Solution: Discrete random variable: A variable is said to be discrete if it takes the positive…

Q: What is the difference between a discrete random variableand a continuous random variable?

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Q: Find the mean of the random variable.

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Q: Explain the term Random Variables? Define discrete & continuous random variables?

A: Random variable: A random variable, usually denoted as X, is a variable whose possible values are…

Q: Let X be a chi-squared random variable with 23 degrees of freedom. What is the probability that X is…

A: Given,degrees of freedom (d.f)=23

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: Define a continuous random variable.

A: Continuous random variable is given.

Q: What is the probability that the random variable will assume a value between 45 and 55 (to 4…

A: Given: The population mean is μ=50. The population standard deviation is σ=5.

Q: Can a binomial random variable X have a mean = 7 and the variance 11. Why or why not?

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: is x discrete or a continuous random variable

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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 random error?

A: In statistics and inference theory, there are two types of error which are there and cannot be…

Q: How can you find the expectation value of a discrete random variable X?

A: The expected value of discrete random variable is X is the summation of the product of the values of…

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 expected value of the probability distribution of the discrete random variable X?

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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: Let Random variable X be the sum of two dice. Present the probability distribution (tabular) of the…

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Q: n your own words, how will you differentiate between discrete and continuous random variabl

A: A random variable is a variable whose value is unknown or a function that assigns values to each of…

Q: Which random variable X is a discrete variable?

A: The number of degrees of the liquid can be in decimal. It can take any real value. So it is a…

Q: What information does the mean (expected value) of a continuous random variable give?

A: Query- What information does the mean (expected value) of a continuous random variable give? Answer-…

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: From the provided information, A certain towing service receive requests for assistant in an average…

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: what can you learn about random variable and probability distribution?

A: Random variable and probability distribution : First understand both terms separate - Random…

Q: Assume this is a simple random sample from a population. Use the Empirical Method to estimate the…

A: The number of persons have some confidence in education institutions is 17867.

Q: What rule of probability permits you to obtain any probability for a discrete random variable by…

A: Probability Rules for Discrete random variable: The probabilities corresponding with the random…

Q: If Z is a standard normal random variable, then what is the probability that Z> 1.5 or Z<…

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Q: What is The expected value of a continuous random variable in math

A: Solution-: We find the expected value of a continuous random variable?

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

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Q: Define Computing Probabilities Involving Normal Random Variables?

A: The normal distribution is a continuous probability distribution and it is a two-parameter…

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

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Q: Determine if the random variables are statistically independent.

A: f(x)=∫yf(x,y) dy        =∫y=02(x2+xy3) dy                     =x2∫02dy +x3∫02y dy            =x2 y02…

Q: An organization published an article stating that in any one-year period, approximately 11.5 percent…

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Q: Define Probabilities and Moments of Continuous Random Variables?

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Q: A bag contains 8 numbered table tennis balls inside. Two balls are numbered 1, three are numbered 2,…

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Q: Define the random variable X.

A: The table shows the probability distribution.

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

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Q: Determine whether the given random variable is discrete or continuous variable. 9. Number of ships…

A: 9. Number of ships in Batangas port. The number of ships is always an integer. So it can not take…

Q: A discrete random variable is a random variable if it can take on an infinite number of values.

A: discrete random variable: A discrete random variable has acountable number of possible values. The…

Q: What makes a discrete probability distribution valid?

A: There are two conditions that make a discrete probability distribution valid.

Q: Is the random variable given in the accompanying table discrete or continuous? Explain.

A: Given information: The data represents the probability distribution table for the variable X =…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!