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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 x2 F(x) = Osx< 4 16 1 4 S x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X S 3). (b) Calculate P(2.5 s XS 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(Ã)]. (e) Obtain the density function f(x). f(x) = F'(x) %3D Osx < 4 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 x2 F(x) = Osx< 4 16 1 4 S x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X S 3). (b) Calculate P(2.5 s XS 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(Ã)]. (e) Obtain the density function f(x). f(x) = F'(x) %3D Osx < 4 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)].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Can you answer part D, E,F,G and H. 

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 x2 F(x) 0Sx < 4 16 1. 4 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(XS 3). (b) Calculate P(2.5 < XS 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) Osx< 4 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)].
Transcribed Image Text: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 x2 F(x) 0Sx < 4 16 1. 4 S X Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(XS 3). (b) Calculate P(2.5 < XS 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) Osx< 4 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)].
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