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 F(x) = 0 x² 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). (c) Calculate P(X> 2.5). 0≤x<5 (b) Calculate P(1.5 < X < 2). = 5 ≤ x (f) Calculate E(X). (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. 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)].
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 F(x) = 0 x² 25 1 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). (c) Calculate P(X> 2.5). 0≤x<5 (b) Calculate P(1.5 < X < 2). = 5 ≤ x (f) Calculate E(X). (d) What is the median checkout duration ? [solve 0.5 = F(μ)]. (e) Obtain the density function f(x). f(x) = F'(x) (g) Calculate V(X) and ox. 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)].
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
F(x) =
0
25
1
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 2).
(c) Calculate P(X > 2.5).
(b) Calculate P(1.5 < X < 2).
(f) Calculate E(X).
0≤x < 5
5 ≤X
(d) What is the median checkout duration ? [solve 0.5 = F(M)].
(e) Obtain the density function f(x).
f(x) = F'(x)
Submit Answer
(g) Calculate V(X) and a.
V(X)
ox
Need Help? Read It
0≤x < 5
(h) If the borrower is charged an amount h(X) = x2 when checkout duration is X, compute the expected charge E[h(X)].
otherwise
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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
F(x) =
0
25
1
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 2).
(c) Calculate P(X > 2.5).
(b) Calculate P(1.5 < X < 2).
(f) Calculate E(X).
0≤x < 5
5 ≤X
(d) What is the median checkout duration ? [solve 0.5 = F(M)].
(e) Obtain the density function f(x).
f(x) = F'(x)
Submit Answer
(g) Calculate V(X) and a.
V(X)
ox
Need Help? Read It
0≤x < 5
(h) If the borrower is charged an amount h(X) = x2 when checkout duration is X, compute the expected charge E[h(X)].
otherwise
Watch It
Master It
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