f (x) = c/x3 for 1 < x < ∞; Find the constant c so that f (x) is a pdf of some random variable X, and then find the cdf, F (x) = P(X ≤ x). Sketch graphs of the pdf f (x) and the cdf F (x), and find the mean μ and variance σ2.
f (x) = c/x3 for 1 < x < ∞; Find the constant c so that f (x) is a pdf of some random variable X, and then find the cdf, F (x) = P(X ≤ x). Sketch graphs of the pdf f (x) and the cdf F (x), and find the mean μ and variance σ2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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f (x) = c/x3 for 1 < x < ∞; Find the constant c so that f (x) is a
of the pdf f (x) and the cdf F (x), and find the mean μ and variance σ2.
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