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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 F(x) Osx<5 Use the caf to obtain the following. (IF necessary, round your answer to four decimal places.) (a) Calculate P(X s 4). (b) Calculate P(3.5 s Xs 4). (c) Calculate P(X > 4.5). (d) What is the median checkout duration p? [solve 0.5 = Fp)]. (e) Obtain the density function fx). Fx) = F'(x) Osx< 5 othervise (f) Calculate E(X). (9) Calculate V(X) and o (h) If the borrower is charged an amount h(X) = x² vwhen checkout duration is X, compute the expected charge Eth(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 Use the caf to obtain the following. (IF necessary, round your answer to four decimal places.) (a) Calculate P(X s 4). (b) Calculate P(3.5 s Xs 4). (c) Calculate P(X > 4.5). (d) What is the median checkout duration p? [solve 0.5 = Fp)]. (e) Obtain the density function fx). Fx) = F'(x) Osx< 5 othervise (f) Calculate E(X). (9) Calculate V(X) and o (h) If the borrower is charged an amount h(X) = x² vwhen checkout duration is X, compute the expected charge Eth(X)].

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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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 F(x) = 25 Osx< 5 5 sx Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(Xs 4). (b) Calculate P(3.5 sXs 4). (c) Calculate P(x > 4.5). (d) What is the median checkout duration i? [solve 0.5 = F()]. (e) Obtain the density function f(x). Fx) = F'(x) Osx< 5 .0 otherwise (f) Calculate E(X). (g) Calculate V(X) and o. V(X) (h) If the borrower is charged an amount h(X) = x when checkout duration is X, compute the expected charge E[h(X)]. Need Help? Read It Watch it Master it
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 F(x) = 25 Osx< 5 5 sx Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(Xs 4). (b) Calculate P(3.5 sXs 4). (c) Calculate P(x > 4.5). (d) What is the median checkout duration i? [solve 0.5 = F()]. (e) Obtain the density function f(x). Fx) = F'(x) Osx< 5 .0 otherwise (f) Calculate E(X). (g) Calculate V(X) and o. V(X) (h) If the borrower is charged an amount h(X) = x when checkout duration is X, compute the expected charge E[h(X)]. Need Help? Read It Watch it Master it
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