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g. Calculate V(X) and σx. h. If the borrower is charged an amount h(X)=X² when checkout duration is X, compute the expected charge E[h(X)].

g. Calculate V(X) and σx. h. If the borrower is charged an amount h(X)=X² when checkout duration is X, compute the expected charge E[h(X)].

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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g. Calculate V(X) and σx. 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:g. Calculate V(X) and σx. 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 (0 x<0 F(x) = 0≤x<2 2≤x a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X>1.5). d. What is the median checkout duration ? [solve .5 = F(μ)]. e. Obtain the density function f(x). f. Calculate E(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 (0 x<0 F(x) = 0≤x<2 2≤x a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X>1.5). d. What is the median checkout duration ? [solve .5 = F(μ)]. e. Obtain the density function f(x). f. Calculate E(X).
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