Question: Given Y~Beta(2,1), for the support on (0,1). Let X = 10Y. 1) What is the support of X? 2) Find (meaning to derive it) the

Given Y~Beta(2,1), for the support on (0,1). Let X = 10Y.

1) What is the support of X?

2) Find (meaning to derive it) the pdf function of X.

3) Explicitly write part 2) answer in terms of the format of pdf of Y and some

constant. (I need to train you rigorously in this again. Likely you have done it

already in part 2) if you use CDF of Y first.)

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