Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. x < 0 F(x) = 0 x² 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). (c) Calculate P(X> 2.5). 0≤x<5 (b) Calculate P(1.5 < X < 2). = 5 ≤ x (f) Calculate E(X). (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. V(X) ox 0≤x < 5 otherwise (h) If the borrower is charged an amount h(X) = x² when checkout duration is X, compute the expected charge E[h(X)].
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. x < 0 F(x) = 0 x² 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). (c) Calculate P(X> 2.5). 0≤x<5 (b) Calculate P(1.5 < X < 2). = 5 ≤ x (f) Calculate E(X). (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. V(X) ox 0≤x < 5 otherwise (h) If the borrower is charged an amount h(X) = x² when checkout duration is X, compute the expected charge E[h(X)].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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