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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. 0 x < 0 +2 F(x) = 0 < x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). 0.25 (b) Calculate P(1.5 ≤ x ≤ 2). 0.1094 (c) Calculate P(X > 2.5). 0.6094 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) } - (f) Calculate E(X). (g) Calculate V(X) and σ, V(X) x' 0 ≤ x < 4 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. 0 x < 0 +2 F(x) = 0 < x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). 0.25 (b) Calculate P(1.5 ≤ x ≤ 2). 0.1094 (c) Calculate P(X > 2.5). 0.6094 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) } - (f) Calculate E(X). (g) Calculate V(X) and σ, V(X) x' 0 ≤ x < 4 otherwise (h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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. 0 x < 0 +2 F(x) = 0 < x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). 0.25 (b) Calculate P(1.5 ≤ x ≤ 2). 0.1094 (c) Calculate P(X > 2.5). 0.6094 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) } - (f) Calculate E(X). (g) Calculate V(X) and σ, V(X) x' 0 ≤ x < 4 otherwise (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. 0 x < 0 +2 F(x) = 0 < x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). 0.25 (b) Calculate P(1.5 ≤ x ≤ 2). 0.1094 (c) Calculate P(X > 2.5). 0.6094 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. (e) Obtain the density function f(x). f(x) = F'(x) } - (f) Calculate E(X). (g) Calculate V(X) and σ, V(X) x' 0 ≤ x < 4 otherwise (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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