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) = OSx < 5 25 1. 5 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X s 2). (b) Calculate P(1.5 SXS 2). (c) Calculate P(X > 2.5). (d) What is the median checkout duration ? [solve 0.5 = F(A)]. (e) Obtain the density function f(x). f(x) = F'(x) Osx < 5 otherwise (f) Calculate E(X). (g) Calculate V(X) and o, V(X) (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) = OSx < 5 25 1. 5 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X s 2). (b) Calculate P(1.5 SXS 2). (c) Calculate P(X > 2.5). (d) What is the median checkout duration ? [solve 0.5 = F(A)]. (e) Obtain the density function f(x). f(x) = F'(x) Osx < 5 otherwise (f) Calculate E(X). (g) Calculate V(X) and o, V(X) (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

Section5.3: The Natural Exponential Function

Problem 51E

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