Let X denote the amount of time for which a book on a 2-hour reserve at a college library is checked out by a randomly selected student and suppose the CDF is: F(x) = 0 x² { 1 4 x < 0, 0 ≤ x < 2, 2 ≤ x. Use this to compute the following: (a) P(X ≤ 1), P(0.5 ≤ X ≤ 1), and P(X > 0.50). (b) Find the median checkout duration ? η 0x (c) E(X), V(X) and o (d) P(x ≥ μ + O₂).
Let X denote the amount of time for which a book on a 2-hour reserve at a college library is checked out by a randomly selected student and suppose the CDF is: F(x) = 0 x² { 1 4 x < 0, 0 ≤ x < 2, 2 ≤ x. Use this to compute the following: (a) P(X ≤ 1), P(0.5 ≤ X ≤ 1), and P(X > 0.50). (b) Find the median checkout duration ? η 0x (c) E(X), V(X) and o (d) P(x ≥ μ + O₂).
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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Transcribed Image Text:Let X denote the amount of time for which a book on a 2-hour reserve at a college library is
checked out by a randomly selected student and suppose the CDF is:
F(x)
=
0
x²
{
1
4
x < 0,
0 ≤ x < 2,
2 ≤ x.
Use this to compute the following:
(a) P(X ≤ 1), P(0.5 ≤ X ≤ 1), and P(X > 0.50).
(b) Find the median checkout duration ?
η
0x
(c) E(X), V(X) and o
(d) P(x ≥ μ + O₂).
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