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

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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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