Question: 19. Let X be a continuous rv with cdf 0 x 0 F(x) 4 x 1 ln 4 x

19. Let X be a continuous rv with cdf 0 x 0 F(x) 4 x

1 ln

4 x

0 x 4 1 x 4

[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. P(X 1)?

b. P(1 X 3)?

c. The pdf of X?

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