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et X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following F(x) = Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(X> 3.5). 51 0 (b) Calculate P(2.5 ≤ x ≤ 3). 11 { 25 1 2 (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. 3.535 X x x < 0 0

et X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following F(x) = Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(X> 3.5). 51 0 (b) Calculate P(2.5 ≤ x ≤ 3). 11 { 25 1 2 (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. 3.535 X x x < 0 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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I can't figure out parts D and F. For part D I did 25 times .5 =  mu tilde2 and I got 3.536 and it said it was wrong. I also tried 3.535 and that was also wrong, so I don't know what I'm doing wrong. For part F I did some steps I can't explain in here. Can you please help me with parts D and F?

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = .11 0 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(x > 3.5). .51 (b) Calculate P(2.5 < X < 3). 2 25 x < 0 (f) Calculate E(X). 3.333 0 < x < 5 5 ≤ x (d) What is the median checkout duration ? [solve 0.5 = F(~)]. 3.535 (e) Obtain the density function f(x). f(x) = F'(x) X 0 < x < 5 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. F(x) = .11 0 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(x > 3.5). .51 (b) Calculate P(2.5 < X < 3). 2 25 x < 0 (f) Calculate E(X). 3.333 0 < x < 5 5 ≤ x (d) What is the median checkout duration ? [solve 0.5 = F(~)]. 3.535 (e) Obtain the density function f(x). f(x) = F'(x) X 0 < x < 5 otherwise
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I don't know how to do parts G and H. Can you please help me? 

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = .11 0 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(X > 3.5). .51 x < 0 (b) Calculate P(2.5 ≤ x ≤ 3). 2 25 0<x<5 (f) Calculate E(X). 3.3333 5 ≤ x (d) What is the median checkout duration ? [solve 0.5 = F(~)]. 3.5355 (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. 0<x< 5 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. F(x) = .11 0 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). 0.36 (c) Calculate P(X > 3.5). .51 x < 0 (b) Calculate P(2.5 ≤ x ≤ 3). 2 25 0<x<5 (f) Calculate E(X). 3.3333 5 ≤ x (d) What is the median checkout duration ? [solve 0.5 = F(~)]. 3.5355 (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. 0<x< 5 otherwise
(c) Calculate P(X> 3.5). .51 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. 3.5355 (e) Obtain the density function f(x). f(x) = F'(x) {. 0 2 25.x (f) Calculate E(X). 3.3333 (g) Calculate V(X) and x- V(X) ox 0≤x < 5 otherwise (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:(c) Calculate P(X> 3.5). .51 (d) What is the median checkout duration ? [solve 0.5 = F(M)]. 3.5355 (e) Obtain the density function f(x). f(x) = F'(x) {. 0 2 25.x (f) Calculate E(X). 3.3333 (g) Calculate V(X) and x- V(X) ox 0≤x < 5 otherwise (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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