Homework Help is Here – Start Your Trial Now!
Math
Statistics
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0 x < 0 +² F(x) = of 0≤x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a V(x) ox 0≤x < 4 otherwise

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0 x < 0 +² F(x) = of 0≤x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a V(x) ox 0≤x < 4 otherwise

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
See similar textbooks
icon
Related questions
Question

Q2.2. Please answer g and h

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0 x < 0 +² F(x) = w=ff 0≤x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a 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)]. 0≤x < 4 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. 0 x < 0 +² F(x) = w=ff 0≤x < 4 16 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ x ≤ 3). (c) Calculate P(X> 3.5). (d) What is the median checkout duration ? [solve 0.5 = F(ũ)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). (g) Calculate V(X) and a 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)]. 0≤x < 4 otherwise
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS