Which one of these variables is a continuous random variable?

Q: When do you call two random processes to be joiniiy wide-sense stationary ?

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Q: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable…

A: Let, X=the number of accidents occurring on a highway each dayX follows a Poisson distribution with…

Q: It is the measure of association between two random variables obtained as the expected value of the…

A: Given info: It is the measure of association between two random variables obtained as the expected…

Q: t is the probability of obtaining 2 boys out of 5 children if the probability of a boy is .51 at…

A: Binomial distribution allows us to compute the probability of observing specified number of events…

Q: The number of bad checks that a bank receives duringa 5-hour business day is a Poisson random…

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Q: the following random variables are Discrete or Continuous.

A: We have to find out whether the random variable is discrete or continuous. Discrete Random Variable:…

Q: In each of the months June, July, and August, the number of accidents occurring in that month is…

A: From the given information, In each of the months June, July, and August, the number of accidents…

Q: If the number of users entering a metaverse is a Poisson random variable whose mean is 2 person per…

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Q: the moment generating function of the random variable is unic true false

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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: Let X be a discrete random variable and Y be a continuous random variable. Which of the following…

A: Let us consider the X to be a discrete random variable and Y to be a continuous random variable. We…

Q: 2. Define the characteristic function of a random variable and state its properties.

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Q: On average, a clothing store gets 120 customers per day. Assume the event occurs independently on…

A: Given, Experiment consists of observing arrival of customers at clothing store per day.

Q: Define a continuous random variable.

A: Continuous random variable is given.

Q: Identify the given random variable as being discrete or continuous. The braking time of a car

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Q: The values of a discrete random variable can be plotted on a number line with space between each…

A: # The values of discrete random variable caan be plotted on number line with space between…

Q: What is a discrete random variable?

A: DISCRETE RANDOM VARIABLE →Discrete random variable is a random variable with a finite or a countable…

Q: A) Suppose that X is a random variable with if 0 < x < 2 fx(x) = otherwise

A: We have to find the var(x)  Using formula  Var(x) = E(x^2) - [E(x)]^2

Q: Show that X and Y are both zero-mean random variables and that they uncorrelated.

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Q: The time that a machine takes to produce a widget is a continuous uniform random variable ranging…

A: Here, distribution ranges from a=20 to b = 40

Q: is x discrete or a continuous random variable

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Q: If the conditional mean of one random variable given another is zero, then the two random variables…

A: Given that  If the conditional mean of one random variable given another is zero, then the two…

Q: Define random variables for discrete and continuous variable?

A: A random variable is a variable with an undefined value, or a function that assigns values to each…

Q: Define the moment generating function of a random variable and state its pronerties.

A: It is known that a probability distribution can be determined uniquely using MGF. If two random…

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: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: When do you call two random processes to be joinily wide-sense stationary ?

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

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Q: If X is a binomial random variable with n = 15 and p = 0.3, we can use the normal approximation? О…

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Q: Justify and explain that if X and Y are independent random variables with respective parameters…

A: It is provided that X+Y = n and X, Y are non-negative, then X can choose 1, …, n. Therefore,

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 number of accidents at a certain intersection is a Poisson random variable. The probability that…

A: we have given that  The probability that there are 2 accidents in any given week is 3 times as much…

Q: Let X be a chi-squared random variable with 17 degrees of freedom. What is the probability that X is…

A: We want to find chi squre probabaility value

Q: The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is

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Q: Identify all possible realizations of each random variable. Let Z be the lifetime of a newborn…

A: The realization of a random variable is continuous thus it can range between 0 &lt; Z &lt; n , where…

Q: Define Probabilities and Moments of Continuous Random Variables?

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Q: The number of lost-and-found requests received each day by a railroad ticket office is a random…

A: Solution: a. Let X be the number of lost-and-found requests received each day by a railroad ticket…

Q: q21- Gender is an example of a continuous random variable. Select one: True False

A: A random variable is said to be continuous random variable if the variable takes some possible…

Q: Define the random variable X.

A: The table shows the probability distribution.

Q: Derive the moment generating function (MGF) of a random variable ?.

A: Given that      We have to derive the moment generating function of Y

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: Let p be the probability that it rains any day in a month. Given that p = 2/3 Let X represents the…

Q: Determine if the random variables X and Y are statistically independent or not. NO NEED SOLUTIONS

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Q: Give 7 other examples of random variables.

A: A random variable is a set of possible values from a random experiment.

Q: A manufacturing facility has 15 CNC machines on site. The length of a machine job is modeled as an…

A: Given, Poisson process ,  n = 15 mean length = 6.2 hours Job waiting , N = 10

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

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Q: Let X be a chi-squared random variable with 12 degrees of freedom. What is the probability that X is…

A: It is given that the degrees of freedom is 12.

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: Are x and y be independent random variables or not?

A: In this question, to check X and Y are independent random variable  here we use the condition…

Q: Provide the graphs for PDF and CDF of the random variable B which takes on values of 1 and 0 with…

A: Introduction: Denote the random variable as B.