'A continuous random variable Y has the pdf
4 V > 2 fy(y) (o otherwise
Let V = 1/vY_ Show a sufficient amount of work t0 demonstrate that the cdf of Y is given by
V < 2 3 V > 2
Fy(y)
b) State the support of the random variable V (i.e: the set of all possible values of V). Use the method of distribution functions t0 find the cdf of V , and then determine the pdf = of from your cdf: Use the method of transformations t0 determine the pdf = of V (HINT: Your pdf = should agree with that from above, SO this can serve as a check on your work:_'