Let X be a continuous rv with cdf [This type of cdf is suggested in the article

Question:

Let X be a continuous rv with cdf

[This type of cdf is suggested in the article “Variability in Measured Bedload-Transport Rates” (Water Resources Bull., 1985: 39–48) as a model for a certain hydrologic variable.] What is

a. ?

b. ?

c. The pdf of X?

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