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6. A random variable Y has density function fy(a)Ky(where y 2 2 (and zero otherwise) and b > 0. This random variable is obtained as the transformation Y-g(X) of the random variable X with density function fx(x) e, a 2 0. Function g(x) is an increasing function in r (a) Show that Kb2b. (b) Determine the transformation g(. in terms of b. Hint: For part (b), carefully read Wackerly 6.4 on how the method of transformations is derived. On p.311, we see the intermediate step Fu(u) Fyh(u)

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6. A random variable Y has density function fy(a)Ky(where y 2 2 (and zero otherwise) and...
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