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(d) What is the median checkout duration ? [solve 0.5 = F(Ñ)]. (e) Obtain the density function f(x). f(x) = F'(x) 0

(d) What is the median checkout duration ? [solve 0.5 = F(Ñ)]. (e) Obtain the density function f(x). f(x) = F'(x) 0

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Hello, I need help with this homework question on sections d.) and e.)

 

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) 0 < x < 4 16 1 4 < x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (а) Calculatе P(X < 3). 0.5625 (b) Calculate P(2.5 < X < 3). 0.1719 (c) Calculate P(X > 3.5). 0.2344 (d) What is the median checkout duration ? [solve 0.5 = F()]. (e) Obtain the density function f(x). f(x) = F'(x) 0 <x < 4 otherwise
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 x2 F(x) 0 < x < 4 16 1 4 < x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (а) Calculatе P(X < 3). 0.5625 (b) Calculate P(2.5 < X < 3). 0.1719 (c) Calculate P(X > 3.5). 0.2344 (d) What is the median checkout duration ? [solve 0.5 = F()]. (e) Obtain the density function f(x). f(x) = F'(x) 0 <x < 4 otherwise
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