(d) What is the median checkout duration i? [solve 0.5 = F(M)). Enter a number. (e) Obtain the density function f(x). F(x) = F'(x) Osx < 5 otherwise (f) Calculate E(X).
(d) What is the median checkout duration i? [solve 0.5 = F(M)). Enter a number. (e) Obtain the density function f(x). F(x) = F'(x) Osx < 5 otherwise (f) Calculate E(X).
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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![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< 5
25
5 S x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 3).
0.36
(b) Calculate P(2.5 SXS 3).
0.11
(c) Calculate P(X > 3.5).
0.51
(d) What is the median checkout duration u? [solve 0.5 = F(M)].
Enter a number.
(e) Obtain the density function f(x).
f(x) = F'(x)
OSx < 5
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)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d158991-3671-4459-aef6-bd0615668acc%2F31faf448-b1ba-4350-9570-8f87190bbdcd%2Fznvtqwg_processed.jpeg&w=3840&q=75)
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) =
OSx< 5
25
5 S x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X S 3).
0.36
(b) Calculate P(2.5 SXS 3).
0.11
(c) Calculate P(X > 3.5).
0.51
(d) What is the median checkout duration u? [solve 0.5 = F(M)].
Enter a number.
(e) Obtain the density function f(x).
f(x) = F'(x)
OSx < 5
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)].
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