F(x) = 1+ In 04 [This type of cumulative density function 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

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Chapter1: Combinatorial Analysis
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10. Let X be a continuous random variable with cumulative density function
F(x) =
1+ In
0<x<4
1
x>4
[This type of cumulative density function 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 probability density function of X?
Transcribed Image Text:10. Let X be a continuous random variable with cumulative density function F(x) = 1+ In 0<x<4 1 x>4 [This type of cumulative density function 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 probability density function of X?
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