X and Y are two independent random variables with fx (x) = e - u (x) and fy (V) = e. u (y). Find the mean of the random variable Z= X- Y for X> Y for Y Y
Q: how to find E(X), E(Y), E(X^2)
A: Given that X and Y are independent and follows N(0,1)
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A: Here we need to find the second moment and the variance.
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Q: If Y is a standard Cauchy random variable, show that Y and are identically distributed. Y
A: Solution
Q: Prove that the variance of b, V(b) = o²(X'X)−¹
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A: given data E(X) = 4, E(Y) - 7, Var(X) = 3. Var(Y) = 6. find Var(10X - 3Y) = ?
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Q: (TRUE / FALSE) For two random variables, X and Y , E(XY ) = E(X)E(Y ) if X and Y are uncorrelated.
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Q: Let Y be a random variable with pdf f(y)= (1/18)(y^3−1) for 1 2.5). (b) Calculate the variance of Y…
A: Solution
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- Find E (XY) where X and Y are independent U (0, 1) random variables.If X is a random variable with pdf f(x) = 2x − 2 where x = (1, 2), find the variance of Y = 2X - 3.We have a random variable X and Y that jave the joint pdf f(x) = {1 0<x<1, 0<y<1} {0 otherwise} If U = Y-X2 , what is the support for the random variable U? What would fu(u) and Fu(u) be? Say U = Y/X, what is the support for the random variable U? What would fu(u) and Fu(u) be?
- What is the variance of a continuous random variable X whose probability density isFind the mean of random variable of X, if X is random variable with pdf f(x) = c(1-x²), -1The pdf of random variable X is given as ƒx(x) = Find the i) Mean ii) Mean of the square [0.3507√x 0SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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