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)].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
Related questions
Question
Can you answer part D, E,F,G and H.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning