Question: Suppose that U~ U (0, 1). Let Y = log (1-0) 1 a) Determine the CDF of Y. Specify the possible values of y.

Suppose that U~ U (0, 1). Let Y = log (1-0) 1 a) Determine the CDF of Y. Specify the possible values of y. This distribution is known as the standard logistic distribution. b) Determine the PDF of Y. c) Is the standard logistic distribution a symmetric distribution? Hint: Consider the PDF. d) Determine the PDF of Z = +oY. This distribution is known as the logistic distribution with parameters and o.
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