Let X be a continuous rv with the following cdf. 0 x ≤ 0 F(x) 1+ In (2)] 0 < x ≤7 1 x> 7 [This type of cdf is suggested in the article "Variability in Measured Bedload-Transport Rates"+ as a model for a certain hydrologic variable.] (a) What is P(X ≤ 2)? (Round your answer to three decimal places.) (b) What is P(2≤ X ≤ 6)? (Round your answer to three decimal places.) (c) What is the pdf of X?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Let X be a continuous rv with the following cdf.
0
X ≤ 0
7
F(x) =
1+ In
0 < x ≤ 7
1
X > 7
[This type of cdf is suggested in the article "Variability in Measured Bedload-Transport Rates"+ as a model for a certain hydrologic variable.]
(a) What is P(X ≤ 2)? (Round your answer to three decimal places.)
(b) What is P(2 ≤ X ≤ 6)? (Round your answer to three decimal places.)
(c) What is the pdf of X?
Transcribed Image Text:Let X be a continuous rv with the following cdf. 0 X ≤ 0 7 F(x) = 1+ In 0 < x ≤ 7 1 X > 7 [This type of cdf is suggested in the article "Variability in Measured Bedload-Transport Rates"+ as a model for a certain hydrologic variable.] (a) What is P(X ≤ 2)? (Round your answer to three decimal places.) (b) What is P(2 ≤ X ≤ 6)? (Round your answer to three decimal places.) (c) What is the pdf of X?
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