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) = of 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 ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a V(x) ox 0≤x < 4 otherwise

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) = of 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 ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a V(x) ox 0≤x < 4 otherwise

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 80E

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