Ex//let xa random variable with pm f p X=xN N , x=1,2,.., N and let Y=a+bx where a, bER find Ey and Var(x)
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Q: b) We have continuous-type random variables X and Y having p.d.f given below: f(x, y) = 4xye-x²-y? ∞…
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Q: Consider a random variable X with probability density function given by 0.2 for 1 < x< 2 for 2 < x <…
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Q: 3. Let X and Y be continuous random variables with joint PDF (3x 0s ysxs1 f(x, y) = {* otherwise…
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Q: 4. For two independent random variables such that X sin N(0, 4), Y ~ U[0, 4], Var(2X +3Y) = Var(2X -…
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Q: Let (X, Y) be bivariate random variables having joint probability density function as f(x) = {;x +y)…
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Q: Two independent random variables X and Y have marginal distribution functions (0, ifx<1 F,(x) = {,…
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Q: Var (Y) = E (Y2) - E (Y)2
A: Given that y be a continuous randomvariableThen, we know
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Q: Let Y be a discrete random variable. Let c be a constant. PROVE Var (Y) = E (Y2) - E (Y)2
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Q: A random variable X is uniformly distributed on the interval (- 5, 15). Another random variable Y =…
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- if Y1 and Y2 are independent Poisson random variable with parameters λ1 and λ2 re-spectively. Then find the conditional distribution of Y1 given Y1 + Y2 = n. That is calculateP(Y1 = k|Y1 + Y2 = n).For an initial investment of 100, an investment yields returns of Xi at the end of period i for i = 1,2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability the rate of return of this investment is greater than 10 percent?For an initial investment of 100, an investment yields returns of Xi at the end of period i for i=1, 2 where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability the rate of return of this investment is greater than 10%?
- A random variable X is uniform from 4 to 8. A Gaussian random variable Y has mean of 10. Approximate the variance ofYY if only 2.5% of its elements is a subset of X.Consider a continuous random variable X such that P (−1 ≤ X ≤ 1) = 1/2. Can X be characterized by i) Uniform, and ii) Exponential distributions? If yes, find the distribution parameters which ensure the required property for X .