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Assume we have three continuous random variables {X_1, X_2, X_3} each drawn from

ID: 3132166 • Letter: A

Question

Assume we have three continuous random variables {X_1, X_2, X_3} each drawn from the following random variable families: Which of the following CDF-transformed random variables will have a Uniform distribution? True or False: If we can simulate uniform random variables U(0,1) , then any other random variable X may also be simulated if we know its CDF. Using the method described in Section 14.9, we wish to simulate the Gaussian random vector With X ~ N(0,I), and Y = G x, which of the following is a suitable value for G?

Explanation / Answer

1) x1 =gaussian

x2 = exponential

x3 = uniform

in this only the x3 has the uniform distribution

therefore the the next unform distribution will be the combination of x3 variable only

there fore the uniform distribution = y3= f(x3)(x3)

hence option c is correct.