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).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb90e355c-abe9-45d7-b8d1-631ace6b1e69%2F0fcc7217-3d89-4b45-b64d-54fe1aa8278c%2Fbqn4h9_processed.png&w=3840&q=75)
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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