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Example 3 Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is X< 0 F(x) 0 < x< 2 4 1 2 < x Use the cdf to obtain the following: а. Р(X 1) b. P(.5 < X< 1) с. Р(X > 1.5)

Example 3 Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is X< 0 F(x) 0 < x< 2 4 1 2 < x Use the cdf to obtain the following: а. Р(X 1) b. P(.5 < X< 1) с. Р(X > 1.5)

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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Example 3 Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is X< 0 F(x) = 0 < x< 2 4 1 2 < x Use the cdf to obtain the following: а. Р(X 1) b. Р(5 Х< 1) с. Р(Х > 1.5) d. The median checkout duration ũ [solve .5 = F(ũ)] e. F'(x) to obtain the density function f(x) f. E(X) g. V(X) and o 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:Example 3 Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is X< 0 F(x) = 0 < x< 2 4 1 2 < x Use the cdf to obtain the following: а. Р(X 1) b. Р(5 Х< 1) с. Р(Х > 1.5) d. The median checkout duration ũ [solve .5 = F(ũ)] e. F'(x) to obtain the density function f(x) f. E(X) g. V(X) and o 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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