Please provide name of distribution and variables, show all steps and explain values in words.

The random variable Y is Uniform on the interval (0,1). a. Let X = -In(Y) Determine i. The support of X. ii. The distribution of X. Name the distribution of X and its parameters. b. Let X= 1/Y'. Determine i. The support of X. ii. The distribution of X. Name the distribution of X and its parameters. If you cannot identify the distribution of X, maybe you can find the pdf of X+1 and then recognize the distribution of X+1 among our tables of distributions