Given a random process X(t)= Acos a,t, where @, is a constant and A is uniformly distributed with mean 5 and variance 2. Find the average power of X(t).

Q: Let X1, X2,..Xn be a random sample from a Poisson distribution with variance 0. Find the UMVUE for…

A: Let x1, x2, …, xn be random sample from poisson distribution with variance θ. The probability mass…

Q: Find the PSD of a stationary random process for which Auto correlation is RYx (t) 6 e- alt|

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Q: Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1,…

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Q: The input voltage to a rectifier is the continuous uniform (-1, 1) random variable U. The rectifier…

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Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Suppose that f (x) = e* for 0 < x Determine the mean and variance of the random variable.

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Q: A random variable x follows continuous uniform distribution on the interval [18,38]. Find the…

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Q: generating function M,(t) = 2 determine the 2-t variance of X.

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Q: Let X1 be a normal random variable with mean 2 and variance 3 and let X2 be a no random variable…

A: Given that X1 follows Normal distribution with E(X1)=2 and V(X1)=3. X2 follows normal distribution…

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance…

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Q: Find the variance of the random variable X with a PDF given by 3x2 S* if - 1< x< 1, f(x) = 2…

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Q: Let X1, X2,...Xn be a random sample from a Poisson distribution with variance 0. Find an unbiased…

A: Let, X1, X2…Xn be a random sample from Poisson distribution with variance = θ For Poisson…

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: Given information: It is given that X, Y, Z are random quantities of three standard normal…

Q: The number of ice creams sold per hour from Mr Fishy’s van is observed to be a Poisson random…

A: X be the distribution of the number of ice creams sold per hour which follows a Poisson distribution…

Q: (Y-1)². Use one decimal place accuracy.

A: Given that  Y ~ Uniform (1 , 11)

Q: The number of clients a store has during a week is Poisson distributed with mean A = 25. The amount…

A: The moment generating function is, ϕt=e1000t+250t2 Mean: Et=ddtϕt   by putting t=0…

Q: A random variable Y has a uniform distribution over the interval (8,, e,). Derive the variance of Y.…

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Q: If a random process, X(t)= A cos wt + Bsin wt is given, where A and B are uncorrelated, zero mean…

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Q: Let X be a random variable distributed as a Normal with mean 0 and variance 2 (i.e., X ~ N(0, 2)).…

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Q: 1.28 On any day, the number of accidents on the highway has a Poisson distribution with parameter A.…

A: We  have to find mean and standard deviation for given uniform distribution...

Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

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Q: Let Y1, . . . , YN be a random sample from the Normal distribution Yi ∼ N(ln β, s2) where s^2 is…

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Q: If a random variable X has the moment generating function Mx (t) = 2 - ť Datermine the variance of…

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Q: Let xy X2 ..., Xn be a random sample from a Poisson distribution with parameter A. Find ML estimator…

A: ANSWER:  For the given data,

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is…

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Q: Daily sales of a store is normally distributed with mean μ=180 Rials and variance σ2 =100. Find the…

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Q: Let the random variable X be defined on the support set (1,2) with pdf fX(x) = (4/15)x3, Find the…

A: The given pdf is shown below:

Q: Let X be a Poisson random variable with rate X. Find the mgf of X.

A: Given, X be a Poisson random variable with rate The mass function of X is,

Q: The time to wait between each phonecall a person recives is random given f(t) = 3e-3t for t>=0. Let…

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Q: Let f(x, y) = x + y for 0 < x < 1 and 0 < y < 1 The Conditional Variance of Y when X = ; is

A: From the given information, the joint density function for X  and Y is,