Compute the cdf and the density of y
Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and of Y2
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Let X1 and X2 be independent random variables, each having a (continuous) uniform distribution over (0; 1). Let the random variable M be de ned as M = max(X1;X2)
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Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and
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