X∼U(a,b) , Using the moment generating function. Calculate the expected value and variance of the random variable X.

Q: The random variable X can only take the values ​​1, 2, 3 and 4 with equal probability. Determine the…

A: Given information: A random variable X has been given that can take only values 1, 2, 3 and 4. The…

Q: IEX is a Poisson distribution variable, then its moment generating function is e^(e' -1).

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Q: Q21. Define moment generating function of random variables. Show that the moment generating function…

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Q: the moment generating function of the random variable is always exist

A: The moment generating function of a random variable x, Mx(t) always exists. or not?

Q: The Moment Generating Function (MGF) for a random variable X, mgfy(t) is given. Find the…

A: Given information: The moment generating function of a random variable X is given below:

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

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Q: A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: Derive an interative  formula for the probability function of poisson distribution.

A: The binomial distribution works when we have a fixed number of events n, each with a constant…

Q: x is a uniform random variable in the interval (x,, x,). Find the expected value of x.

A: ANSWER: For the given data,

Q: 12. Find - the characteristic function of a rectangular distribution. moment generating function and

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Q: A basket has 10 pink balls. 11 blue and 13 red. Pick a random ball.  X= -2 if pink, X = 0 if blue…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Let Y be a continuous random variable where 1 ,-3< y< 15 f(y) = {18 0 ,otherwise Then expected value…

A: Let  y be a contineous random variable wherefy=118,-3≤y≤150,     otherwise

Q: A pumping station operator observes that the demand for water at a certain hour of the day can be…

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Q: Find the expected value and variance of the a geometric random variable X with parameter p using its…

A: The expected value and variance of the a geometric random variable X with parameter p using its…

Q: Cars arriving for petrol at a particular petrol station follow a Poisson distribution with a mean of…

A: Introduction:  Poisson Distribution: Poisson distribution is the discrete probability distribution.…

Q: Explain the Covariance functions as applicable to random processes.

A: The autocovariance function CX(s,t) of a random process {X(t)} is a function of two times s and t.…

Q: Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets…

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Q: A pumping station operator observes that the demand for water at a certain hour of the day can be…

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

Q: Find the expected value of the function

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Q: 2. Show how the Poisson distribution -m m e (x= 0, 1, 2,...) %3D х! can be regarded as the limiting…

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Q: Find the moment-generating function ?(?) for a Poisson distributed random variable with mean ?.

A: Solution-: We want to find moment-generating function  for a Poisson distributed random variable…

Q: Estimate the linear probability model using Purchase as the response variable and Age as the…

A: Linear Probability Model: A linear probability model is a special case of a binary regression model…

Q: Find the expected value of x

A: Expectation is a concept in probability. It is similar to mean.

Q: Exercise 7: Let the random variable X have a discrete uniform distribution on the integers 0≤x≤99.…

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Q: A. determine if it is discrete binomial or normal B. calculate the expected value or mean on the…

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Q: A particular pumping engine will only function properly if an essential component functions…

A: Probability density function is given by, f(x) = 0.02xe-0.01x^2  So, Probability that it will…

Q: A portfolio has 100 independent insurance policies. Each policy has a probability 0.8 of making no…

A: X 10 50 80 P(X) 0.4 0.4 0.2

Q: Mean of the discrete random variable is the __ of probability mass function

A: Mean of the discrete random variable is the __ of probability mass function We have to fill the…

Q: O Find the method of moments estimate of 0. What is the likelihood function?

A: To find the method of moments estimate, we equate the sample moments to population moments. The…

Q: a newspaper seller orders 10,000 unites of newspaper for his inventory.suppose demand for th…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: . Find the probability that 5 patients present in the first hour b. What is the probability that the…

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART

Q: What is the expected value of an exponential randomvariable?

A: Exponential random variable. For a positive constant k&gt;0, the exponential density function (with…

Q: calculate the expected value of X.S

A: A cubical die is biased. The numbers one to five are equally likely to land face up, but six is…

Q: How do u find expected value

A: How do u find expected value

Q: Calculate the expected value E(X) of the given random variable X. X is the number of tails that come…

A: Let us assume X= number of tails. The probability of getting a tail from an unbiased coin is 0.5.…

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: Let X be Bernoulli random variable, find the moment generating function X and find its mean,…

A: The answer is given using the concept of the Bernoulli random variable.

Q: Compute the expected value for X.

A: here  given  joint distribution of X and Y  here E(X) = ∑X.p(X)

Q: Vir Fish believes that the random variable A, repre can be modelled by a discrete uniform…

A: The Beaufort scale assigns a number between 0 and 12 to each windspeed, where 0 represents calm…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: The number of failures of a testing instrument from contamination particles on the product is a…

A: Given,A random variable X~Poisson(λ=0.02)P(X=x)=e-0.020.02xx! ; x≥0

Q: a. Find the maximum likelihood estimator for 0.

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Q: Explain Functions of Normally and Log-normally Distributed Random Variables

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Q: The Moment Generating Function (MGF) for a random variable X, mgfx(t) is given. Find the…

A: Given information: The moment generating function of a random variable X is given below:…

Q: A continuous random variable X has cumulative distribution function F(x) = 1.5 3 2 6 –1 < x < 1. a)…

A: (a) To evaluate the expectation by definition, we need to derive probability density function first,

Q: Find the expected value of X

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Q: Exercise 5: Let the random variable X have a discrete uniform distribution on the integers 1≤x≤3.…

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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.